Encoding method and apparatus therefor, and decoding method and apparatus therefor

ABSTRACT

Provided is a video decoding method including: obtaining, from a bitstream, intra prediction mode information indicating an intra prediction mode of a current block; determining an interpolation filter set to be used in prediction of the current block, based on at least one of a size of the current block and the intra prediction mode indicated by the intra prediction mode information; determining a reference location to which a current sample of the current block refers according to the intra prediction mode; determining, in the interpolation filter set, an interpolation filter that corresponds to the reference location; determining a prediction value of the current sample, according to reference samples of the current block and the interpolation filter; and reconstructing the current block, based on the prediction value of the current sample.

CROSS-REFERENCE TO RELATED APPLICATIONS

This is a National Stage of International Application No.PCT/KR2019/006989 filed Jun. 11, 2019, claiming priority based on U.S.Provisional Application Nos. 62/683,163 and 62/699,363 filed Jun. 11,2018 and Jul. 17, 2018, the contents of all of which are incorporatedherein by reference in their entirety.

TECHNICAL FIELD

The disclosure relates to a video encoding method and a video decodingmethod, and more particularly, to methods of efficiently encoding anddecoding a video according to an intra prediction method.

BACKGROUND ART

A high quality video requires a large amount of data for encoding.However, there is a limit in a bandwidth available to transmit videodata, and thus, a data rate to be applied to transmission of the videodata may be limited. Accordingly, in order to efficiently transmit thevideo data, there is a demand for video data encoding and decodingmethods with minimal degradation of image quality and increasedcompression rates.

Video data may be compressed by removing spatial redundancy and temporalredundancy between pixels. Pixels adjacent to each other generally havecommon characteristics, and thus, in order to remove redundancy betweenthe adjacent pixels, encoding information is transmitted in a data unitconsisting of pixels.

Pixel values of the pixels included in the data unit are not directlytransmitted, and a method required for obtaining the pixel values istransmitted. A prediction method of predicting a pixel value similar toan original value is determined for each data unit, and encodinginformation about the prediction method is transmitted from an encoderto a decoder. Also, because a prediction value is not entirely equal tothe original value, residual data of a difference between the originalvalue and the prediction value is transmitted from the encoder to thedecoder.

As the accuracy of prediction increases, encoding information requiredto specify a prediction method increases but a size of residual datadecreases. Thus, the prediction method is determined based on theencoding information and the size of the residual data. In particular,data units split from a picture have various sizes, and as a size of adata unit increases, the likelihood of the accuracy of predictiondecreasing increases whereas encoding information decreases. Thus, asize of a block is determined in accordance with characteristics of thepicture.

Also, prediction methods include into intra prediction and interprediction. The intra prediction refers to a method of predicting pixelsof a block from adjacent pixels of the block. The inter predictionrefers to a method of predicting pixels by referring to pixels ofanother picture, which are referred to by a picture including a block.Thus, spatial redundancy is removed according to the intra prediction,and temporal redundancy is removed according to the inter prediction.

As the number of prediction methods is increased, a size of encodinginformation for indicating the prediction methods is increased. Thus,the size of the encoding information to be applied to the block may bedecreased by predicting the encoding information from another block.

A loss of video data is allowed to the extent that human eyes cannotrecognize the loss, and thus, the amount of residual data can bedecreased by performing lossy compression on the residual data intransformation and quantization processes.

DESCRIPTION OF EMBODIMENTS Technical Problem

Provided are a video encoding method and a video encoding apparatus thatperform video encoding according to an intra prediction method withrespect to a block. Also provided are a video decoding method and avideo decoding apparatus that perform video decoding according to anintra prediction method with respect to a block. Also provided is acomputer-readable recording medium having recorded thereon a program forexecuting a video encoding method and a video decoding method, accordingto an embodiment of the disclosure, on a computer.

Technical Solution to Problem

In the disclosure, provided is a video decoding method including:obtaining, from a bitstream, intra prediction mode informationindicating an intra prediction mode of a current block; determining aninterpolation filter set to be used in prediction of the current block,based on at least one of a size of the current block and the intraprediction mode indicated by the intra prediction mode information;determining a reference location to which a current sample of thecurrent block refers according to the intra prediction mode;determining, in the interpolation filter set, an interpolation filterthat corresponds to the reference location; determining a predictionvalue of the current sample, according to reference samples of thecurrent block and the interpolation filter; and reconstructing thecurrent block, based on the prediction value of the current sample.

In the disclosure, provided is a video decoding method including:obtaining, from a bitstream, intra prediction mode information of acurrent block; based on the intra prediction mode information of thecurrent block, determining an intra prediction mode of the currentblock; when the intra prediction mode of the current block is an angularintra prediction mode, determining an intra prediction direction of thecurrent block which corresponds to the intra prediction mode of thecurrent block, based on a height and a width of the current block;obtaining a prediction block of the current block by intra predictingthe current block according to the intra prediction direction of thecurrent block; and reconstructing the current block, based on theprediction block, and wherein the determining of the intra predictiondirection of the current block includes: when the current block has asquare shape where the width and the height are equal, determining afirst intra prediction direction candidate, which is indicated by theintra prediction mode, to be the intra prediction direction of thecurrent block, from among a plurality of first intra predictiondirection candidates set based on the square shape; and when the currentblock has a non-square shape where the width and the height are notequal, determining a second intra prediction direction candidate, whichis indicated by the intra prediction mode, to be the intra predictiondirection of the current block, from among a plurality of second intraprediction direction candidates set based on the non-square shape.

In the disclosure, provided is a video decoding apparatus including: amemory storing an instruction for performing video decoding; and aprocessor configured to execute the instruction, wherein the processoris further configured to, according to the instruction, obtain, from abitstream, intra prediction mode information indicating an intraprediction mode of a current block, determine an interpolation filterset to be used in prediction of the current block, based on at least oneof a size of the current block and the intra prediction mode indicatedby the intra prediction mode information, determine a reference locationto which a current sample of the current block refers according to theintra prediction mode, determine, in the interpolation filter set, aninterpolation filter that corresponds to the reference location,determine a prediction value of the current sample by interpolatingreference samples of the current block according to the interpolationfilter, and reconstruct the current block, based on the prediction valueof the current sample.

In the disclosure, provided is a video decoding apparatus including: amemory storing an instruction for performing video decoding; and aprocessor configured to execute the instruction, wherein the processoris further configured to, according to the instruction, obtain, from abitstream, intra prediction mode information of a current block, basedon the intra prediction mode information of the current block, determinean intra prediction mode of the current block, when the intra predictionmode of the current block is an angular intra prediction mode, determinean intra prediction direction of the current block which corresponds tothe intra prediction mode of the current block, based on a height and awidth of the current block, obtain a prediction block of the currentblock by intra predicting the current block according to the intraprediction direction of the current block, and reconstruct the currentblock, based on the prediction block, and when the current block has asquare shape where the width and the height are equal, the intraprediction direction of the current block is determined to be a firstintra prediction direction candidate indicated by the intra predictionmode, from among a plurality of first intra prediction directioncandidates set based on the square shape, and when the current block hasa non-square shape where the width and the height are not equal, theintra prediction direction of the current block is determined to be asecond intra prediction direction candidate indicated by the intraprediction mode, from among a plurality of second intra predictiondirection candidates set based on the non-square shape.

In the disclosure, provided is a video encoding method including:determining an intra prediction mode of a current block according toprediction accuracy of the current block; and outputting a bitstreamincluding intra prediction mode information indicating the intraprediction mode of the current block, and wherein the determining of theintra prediction mode of the current block according to the predictionaccuracy of the current block includes: determining an interpolationfilter set to be used in prediction of the current block, based on atleast one of a size and the intra prediction mode of the current block;determining a reference location to which a current sample of thecurrent block refers, according to the intra prediction mode;determining, in the interpolation filter set, an interpolation filterthat corresponds to the reference location; determining a predictionvalue of the current sample by interpolating reference samples of thecurrent block according to the interpolation filter; and determining theprediction accuracy of the current block according to the intraprediction mode, based on the prediction value of the current sample.

In the disclosure, provided is a video encoding method including:determining intra prediction direction candidates applicable to acurrent block, based on a width and a height of the current block;determining an intra prediction mode of the current block, based onprediction accuracies of prediction blocks according to the intraprediction direction candidates; and outputting a bitstream includingintra prediction mode information indicating the intra prediction modeof the current block, and wherein the determining of the intraprediction direction candidates includes, when the current block has asquare shape where the width and the height are equal, determining aplurality of first intra prediction direction candidates set based onthe square shape, and when the current block has a non-square shapewhere the width and the height are not equal, determining a plurality ofsecond intra prediction direction candidates including a plurality ofintra prediction directions set based on the non-square shape.

In the disclosure, provided is a video encoding apparatus including: amemory storing an instruction for performing video encoding; and aprocessor configured to execute the instruction, wherein the processoris further configured to, according to the instruction, determine anintra prediction mode of a current block according to predictionaccuracy of the current block, and output a bitstream including intraprediction mode information indicating the intra prediction mode of thecurrent block, and wherein the prediction accuracy of the intraprediction mode of the current block is determined by determining aninterpolation filter set to be used in prediction of the current block,based on at least one of a size and the intra prediction mode of thecurrent block, determining a reference location to which a currentsample of the current block refers, according to the intra predictionmode, determining, in the interpolation filter set, an interpolationfilter that corresponds to the reference location, determining aprediction value of the current sample by interpolating referencesamples of the current block according to the interpolation filter, anddetermining the prediction accuracy of the current block, based on theprediction value of the current sample.

In the disclosure, provided is a video encoding apparatus including: amemory storing an instruction for performing video encoding; and aprocessor configured to execute the instruction, wherein the processoris further configured to, according to the instruction, determine intraprediction direction candidates applicable to a current block, based ona width and a height of the current block, determine an intra predictionmode of the current block, based on prediction accuracies of predictionblocks according to the intra prediction direction candidates, andoutput a bitstream including intra prediction mode informationindicating the intra prediction mode of the current block, and wherein,when the current block has a square shape where the width and the heightare equal, the intra prediction direction candidates includes aplurality of first intra prediction direction candidates set based onthe square shape, and when the current block has a non-square shapewhere the width and the height are not equal, the intra predictiondirection candidates includes a plurality of second intra predictiondirection candidates including a plurality of intra predictiondirections set based on the non-square shape.

The disclosure provides a computer-recordable recording medium havingrecorded thereon a program for executing the video encoding method andthe video decoding method.

The technical problems of the present embodiment are not limited to theaforementioned technical problems, and other unstated technical problemsmay be inferred from embodiments below.

Advantageous Effects of Disclosure

An interpolation filter set that is appropriate for intra prediction ofa block is selected from among a plurality of interpolation filter setsincluding a sharp filter set, a smoothing filter set, and the like.Efficiency of intra prediction may be improved by using an interpolationfilter set appropriate for the intra prediction. Furthermore, aprediction direction according to an intra prediction mode of a currentblock is determined based on a shape of the current block, such thatefficiency of intra prediction may be improved.

BRIEF DESCRIPTION OF DRAWINGS

FIG. 1A is a block diagram of an image encoding apparatus based oncoding units having a tree structure according to an embodiment of thedisclosure.

FIG. 1B is a block diagram of an image decoding apparatus based oncoding units having a tree structure according to an embodiment.

FIG. 2 illustrates a process of determining at least one coding unit bysplitting a current coding unit according to an embodiment.

FIG. 3 illustrates a process of determining at least one coding unit bysplitting a non-square coding unit according to an embodiment.

FIG. 4 illustrates a process of splitting a coding unit based on atleast one of block shape information and split shape informationaccording to an embodiment.

FIG. 5 illustrates a method of determining a preset coding unit fromamong an odd number of coding units according to an embodiment.

FIG. 6 illustrates an order of processing a plurality of coding unitswhen the plurality of coding units are determined by splitting a currentcoding unit according to an embodiment.

FIG. 7 illustrates a process of determining that a current coding unitis to be split into an odd number of coding units when the coding unitsare not processable in a preset order according to an embodiment.

FIG. 8 illustrates a process of determining at least one coding unit bysplitting a first coding unit according to an embodiment.

FIG. 9 illustrates that a shape into which a second coding unit issplittable is restricted when a non-square second coding unit determinedby splitting a first coding unit satisfies a preset condition accordingto an embodiment.

FIG. 10 illustrates a process of splitting a square coding unit whensplit shape information cannot indicate that the square coding unit isto be split into four square coding units according to an embodiment.

FIG. 11 illustrates that a processing order between a plurality ofcoding units may be changed depending on a process of splitting a codingunit according to an embodiment.

FIG. 12 illustrates a process of determining a depth of a coding unit asa shape and a size of the coding unit change, when the coding unit isrecursively split such that a plurality of coding units are determinedaccording to an embodiment.

FIG. 13 illustrates depths that are determinable based on shapes andsizes of coding units, and part indexes (PIDs) that are for identifyingthe coding units according to an embodiment.

FIG. 14 illustrates that a plurality of coding units are determinedbased on a plurality of preset data units included in a pictureaccording to an embodiment.

FIG. 15 illustrates a processing block serving as a unit for determininga determination order of reference coding units included in a pictureaccording to an embodiment.

FIG. 16 is a block diagram of a video decoding apparatus 1600 forperforming video decoding according to the block intra predictingmethod.

FIGS. 17 and 18 illustrate an intra prediction mode indicating an intraprediction method.

FIGS. 19A and 19B illustrate an embodiment of intra prediction modes tobe applied to a non-square shape.

FIG. 20 illustrates an embodiment of a method of determining a MostProbable Mode (MPM) of a non-square block.

FIG. 21 illustrates an embodiment of a method of filtering a referencesample neighboring a current block.

FIGS. 22 and 23 illustrate an embodiment of a method of determining aprediction value of a current block according to an interpolationfilter.

FIG. 24 illustrates a flowchart of a video decoding method includingadaptively selecting an interpolation filter for a current block, theinterpolation filter being used in intra prediction.

FIG. 25 illustrates a flowchart of a video decoding method ofdetermining intra prediction direction candidates of a current block,based on a shape of the current block, and determining an intraprediction direction of the current block from among the intraprediction direction candidates.

FIG. 26 illustrates a block diagram of a video encoding apparatus 2600that performs video encoding according to a block intra predictingmethod.

FIG. 27 illustrates a flowchart of a video encoding method includingadaptively selecting an interpolation filter for a current block, theinterpolation filter being used in intra prediction.

FIG. 28 illustrates a flowchart of a video encoding method ofdetermining intra prediction direction candidates of a current block,based on a shape of the current block, and determining an intraprediction direction of the current block from among the intraprediction direction candidates.

BEST MODE

In the disclosure, provided is a video decoding method including:obtaining, from a bitstream, intra prediction mode informationindicating an intra prediction mode of a current block; determining aninterpolation filter set to be used in prediction of the current block,based on at least one of a size of the current block and the intraprediction mode indicated by the intra prediction mode information;determining a reference location to which a current sample of thecurrent block refers according to the intra prediction mode;determining, in the interpolation filter set, an interpolation filterthat corresponds to the reference location; determining a predictionvalue of the current sample, according to reference samples of thecurrent block and the interpolation filter; and reconstructing thecurrent block, based on the prediction value of the current sample.

In the disclosure, provided is a video decoding method including:obtaining, from a bitstream, intra prediction mode information of acurrent block; based on the intra prediction mode information of thecurrent block, determining an intra prediction mode of the currentblock; when the intra prediction mode of the current block is an angularintra prediction mode, determining an intra prediction direction of thecurrent block which corresponds to the intra prediction mode of thecurrent block, based on a height and a width of the current block;obtaining a prediction block of the current block by intra predictingthe current block according to the intra prediction direction of thecurrent block; and reconstructing the current block, based on theprediction block, and wherein the determining of the intra predictiondirection of the current block includes: when the current block has asquare shape where the width and the height are equal, determining afirst intra prediction direction candidate, which is indicated by theintra prediction mode, to be the intra prediction direction of thecurrent block, from among a plurality of first intra predictiondirection candidates set based on the square shape; and when the currentblock has a non-square shape where the width and the height are notequal, determining a second intra prediction direction candidate, whichis indicated by the intra prediction mode, to be the intra predictiondirection of the current block, from among a plurality of second intraprediction direction candidates set based on the non-square shape.

MODE OF DISCLOSURE

Advantages and features of embodiments and methods of accomplishing thesame may be understood more readily by reference to the embodiments andthe accompanying drawings. In this regard, the disclosure may havedifferent forms and should not be construed as being limited to theembodiments set forth herein. Rather, these embodiments are provided sothat this disclosure will be thorough and complete and will fully conveythe concept of the disclosure to one of ordinary skill in the art.

The terms used in the specification will be briefly defined, and theembodiments will be described in detail.

All terms including descriptive or technical terms which are used in thespecification should be construed as having meanings that are obvious toone of ordinary skill in the art. However, the terms may have differentmeanings according to the intention of one of ordinary skill in the art,precedent cases, or the appearance of new technologies. Also, some termsmay be arbitrarily selected by the applicant, and in this case, themeaning of the selected terms will be described in detail in thedetailed description of the disclosure. Therefore, the terms used in thedisclosure should not be interpreted based on only their names but haveto be defined based on the meaning of the terms together with thedescriptions throughout the specification.

In the following specification, the singular forms include plural formsunless the context clearly indicates otherwise.

When a part “includes” or “comprises” an element, unless there is aparticular description contrary thereto, the part may further includeother elements, not excluding the other elements. The term “unit” usedherein refers to a software component or a hardware component such as afield-programmable gate array (FPGA) or an application-specificintegrated circuit (ASIC), which performs certain tasks. However, the“unit” is not limited to software or hardware. The “unit” may be formedso as to be in an addressable storage medium, or may be formed so as tooperate one or more processors. Thus, for example, the term “unit” mayrefer to components such as software components, object-orientedsoftware components, class components, and task components, and mayinclude processes, functions, attributes, procedures, subroutines,segments of program code, drivers, firmware, micro codes, circuits,data, a database, data structures, tables, arrays, or variables. Afunction provided by the components and “units” may be associated withthe smaller number of components and “units”, or may be divided intoadditional components and “units”.

The term “current block” refers to one of a coding unit, a predictionunit, and a transform unit which are currently to be encoded or decoded.For convenience of descriptions, a “current coding unit”, a “currentprediction unit”, and a “current transform unit” may be used when othertypes of blocks such as a prediction unit and a transform unit need tobe distinguished from one another. In addition, the term “lower block”refers to a data unit split from the “current block”. The term “upperblock” refers to a data unit including the “current block”.

Also, the term “sample” used herein refers to data that is allocated toa sampling location of an image and is to be processed. For example,pixel values of an image in a spatial domain or transform coefficientsin a transform domain may be samples. A unit including at least onesample may be defined as a block.

The disclosure will now be described more fully with reference to theaccompanying drawings for one of ordinary skill in the art to be able toperform the disclosure without any difficulty. In addition, portionsirrelevant to the descriptions of the disclosure will be omitted in thedrawings for clear descriptions of the disclosure.

FIG. 1A is a block diagram of an image encoding apparatus 100 based oncoding units having a tree structure according to an embodiment of thedisclosure.

The image encoding apparatus 100 includes an encoder 110 and a bitstreamgenerator 120.

The encoder 110 may first split a single picture into one or more slicesor one or more tiles. The encoder 110 splits a picture or a slice or atile included in the picture into a plurality of largest coding unitsaccording to a size of a largest coding unit. The largest coding unitmay be a data unit having a size of 32×32, 64×64, 128×128, 256×256, orthe like, wherein a shape of the data unit is a square shape having awidth and length in powers of 2. The encoder 110 may provide largestcoding unit size information indicating the size of the largest codingunit to the bitstream generator 120. The bitstream generator 120 may addthe largest coding unit size information to a bitstream.

The encoder 110 determines coding units by splitting the largest codingunit. Whether to split a coding unit is determined according to whethersplitting of the coding unit is efficient according to rate-distortionoptimization. Then, split information indicating whether the coding unitis split may be generated. The split information may be represented inthe form of a flag.

A coding unit may be split by using various methods. For example, asquare coding unit may be split into four square coding units whosewidth and height are half those of the square coding unit. A squarecoding unit may be split into two rectangular coding units whose widthis half that of the square coding unit. A square coding unit may besplit into two rectangular coding units whose height is half that of thesquare coding unit. A square coding unit may be split into three codingunits by splitting its width or height at 1:2:1.

A rectangular coding unit whose width is twice a height may be splitinto two square coding units. A rectangular coding unit whose width istwice a height may be split into two rectangular coding units whosewidth is four times a height. A rectangular coding unit whose width istwice a height may be split into two rectangular coding units and onesquare coding unit by splitting a width at 1:2:1.

Equally, a rectangular coding unit whose height is twice a width may besplit into two square coding units. Also, a rectangular coding unitwhose height is twice a width may be split into two rectangular codingunits whose height is four times a width. Equally, a rectangular codingunit whose height is twice a width may be split into two rectangularcoding units and one square coding unit by splitting its height at1:2:1.

When the image encoding apparatus 100 can use two or more splittingmethods, information about splitting methods that may be used for codingunits from among the splitting methods that are usable by the imageencoding apparatus 100 may be determined for each picture. Therefore,only specific splitting methods may be determined to be used for eachpicture. When the image encoding apparatus 100 uses only one splittingmethod, information about a splitting method that may be used for codingunits is not separately determined.

A coding unit having a preset size may be split by using a specificsplitting method. For example, when a size of a coding unit is 256×265,the coding unit may be set to be split into only four square units whosewidth and height are half those of the coding unit.

When split information of a coding unit indicates that the coding unitis split, split shape information indicating a splitting method of thecoding unit may be generated. When there is only one splitting methodthat may be used in a picture to which a coding unit belongs, splitshape information may not be generated. When a splitting method isadaptively determined to encoding information around a coding unit,split shape information may not be generated.

As described above, image data of a current picture is split intolargest coding units according to a maximum size of a coding unit. Eachof the largest coding units may include coding units that arehierarchically split from the largest coding unit. A shape and alocation of a lower coding unit may be determined according to a splitshape of an upper coding unit. A minimum size of a coding unit thatlimits splitting of the coding unit may be preset.

The encoder 110 compares coding efficiency when a coding unit ishierarchically split with coding efficiency when the coding unit is notsplit. Then, the encoder 110 determines whether to split the coding unitaccording to a result of the comparison. When it is determined that itis more efficient to split the coding unit, the encoder 110 splits thecoding unit hierarchically. When it is determined that it is efficientnot to split the coding unit according to the result of the comparison,the encoder 110 does not split the coding unit. Whether to split acoding unit may be determined regardless of whether adjacent codingunits are split.

A finally split coding unit may be predicted by using intra predictionor inter prediction. Intra prediction refers to a method of predictingsamples of a prediction unit by using reference samples around theprediction unit. Inter prediction refers to a method of predictingsamples of a prediction unit by obtaining reference samples from areference picture referenced by a current picture.

For intra prediction, the encoder 110 may select a most efficient intraprediction method by applying a plurality of intra prediction methods toa prediction unit. The intra prediction method includes a DC mode, aplanar mode, and a directional mode such as a vertical mode, ahorizontal mode, and the like.

When a reconstructed sample around a coding unit is used as a referencesample, intra prediction may be performed for each prediction unit.However, when a reconstructed sample in a coding unit is used as areference sample, reconstruction of the reference sample in the codingunit has to precede prediction, and thus a prediction order of aprediction unit may depend on a transformation order of a transformunit. Therefore, when the reconstructed sample in the coding unit isused as the reference sample, only an intra prediction method fortransform units corresponding to the prediction unit may be determined,and actual intra prediction may be performed on each transform unit.

The encoder 110 may select a most efficient inter prediction method bydetermining an optimal motion vector and an optimal reference picture.For inter prediction, a coding unit determiner 120 may determine aplurality of motion vector candidates from a coding unit that isspatially and temporally adjacent to a current coding unit, and maydetermine, from among the motion vector candidates, a most efficientmotion vector as a motion vector. Equally, the encoder 110 may determinea plurality of reference picture candidates from the coding unit that isspatially and temporally adjacent to the current coding unit, and maydetermine a most efficient reference picture from among the referencepicture candidates. According to an embodiment, the reference picturemay be determined from reference picture lists that are pre-determinedfor a current picture. According to the embodiment, for accuracy ofprediction, the most efficient motion vector from among the plurality ofmotion vector candidates may be determined as a prediction motionvector, and a motion vector may be determined by correcting theprediction motion vector. Inter prediction may be parallel performed oneach prediction unit in the coding unit.

The encoder 110 may reconstruct a coding unit by obtaining onlyinformation indicating a motion vector and a reference picture accordingto a skip mode. According to the skip mode, all encoding informationincluding a residual signal is skipped, except for the informationindicating the motion vector and the reference picture. Because theresidual signal is skipped, the skip mode may be used when accuracy ofprediction is very high.

A partition mode to be used may be limited according to a predictionmethod for a prediction unit. For example, only partition modes for aprediction unit having a size of 2N×2N or N×N may be applied to intraprediction, whereas partition modes for a prediction unit having a sizeof 2N×2N, 2N×N, N×2N, or N×N may be applied to inter prediction. Inaddition, only a partition mode for a prediction unit having a size of2N×2N may be applied to a skip mode of the inter prediction. A partitionmode allowed for each prediction method in the image encoding apparatus100 may vary according to coding efficiency.

The image encoding apparatus 100 may perform transformation based on acoding unit. The image encoding apparatus 100 may transform residualdata that is a difference value between an original value and aprediction value with respect to pixels included in a coding unit,through a preset process. For example, the image encoding apparatus 100may perform lossy-compression on the residual data through quantizationand discrete cosine transform (DCT)/discrete sine transform (DST).Alternatively, the image encoding apparatus 100 may performlossless-compression on the residual data without quantization.

In conclusion, the encoder 110 determines a most efficient predictionmethod for a current coding unit from among a plurality of intraprediction methods and inter prediction methods. Then, the encoder 110determines a prediction method for the current coding unit according tocoding efficiency according to a prediction result. Equally, the encoder110 determines a transformation method according to coding efficiencyaccording to a transformation result. Coding efficiency of a coding unitis finally determined according to a most efficient coding unitprediction method and transformation method determination scheme. Theencoder 110 finalizes a hierarchical structure of a largest coding unitaccording to coding efficiency of a coding unit that is finally split.

The encoder 110 may measure coding efficiency of coding units,prediction efficiency of prediction methods, or the like by usingrate-distortion optimization based on Lagrangian multipliers.

The encoder 110 may generate split information indicating whether tosplit a coding unit according to the determined hierarchical structureof the largest coding unit. Then, the encoder 110 may generate, forsplit coding units, partition mode information for determining aprediction unit and transform unit split information for determining atransform unit. In addition, when the coding unit may be split by usingat least two splitting methods, the encoder 110 may generate both splitinformation and split shape information that indicates a splittingmethod. The encoder 110 may generate information about a predictionmethod and a transformation method that are used for the prediction unitand the transform unit.

The bitstream generator 120 may output, in a bitstream, a plurality ofpieces of information generated by the encoder 110 according to thehierarchical structure of the largest coding unit.

A method of determining a coding unit, a prediction unit, and atransform unit according to a tree structure of a largest coding unitaccording to an embodiment will be described below in detail withreference to FIGS. 3 through 12 .

FIG. 1B is a block diagram of an image decoding apparatus 150 based oncoding units having a tree structure according to an embodiment.

The image decoding apparatus 150 includes a receiver 160 and a decoder170.

Definitions of the terms including a coding unit, a prediction unit, atransform unit, various split information, or the like for a decodingoperation performed by the image decoding apparatus 150 are the same asthose described above with reference to FIG. 1A and the image encodingapparatus 100. Also, because the image decoding apparatus 150 isdesigned to reconstruct image data, various encoding methods used by theimage encoding apparatus 100 may be applied to the image decodingapparatus 150.

The receiver 160 receives and parses a bitstream regarding an encodedvideo. The decoder 170 extracts, from the parsed bitstream, a pluralityof pieces of information for decoding largest coding units, and providesthe information to the decoder 170. The decoder 170 may extractinformation about a maximum size of a coding unit of a current picturefrom a header, a sequence parameter set, or a picture parameter set ofthe current picture.

Furthermore, the decoder 170 extracts, from the parsed bitstream, splitinformation of coding units having a tree structure according to eachlargest coding unit. The extracted split information is output to thedecoder 170. The decoder 170 may determine a tree structure of thelargest coding unit by splitting a largest coding unit according to theextracted split information.

The split information extracted by the decoder 170 is split informationof a tree structure determined by the image encoding apparatus 100 tocause a minimum coding error. Therefore, the image decoding apparatus150 may reconstruct an image by decoding data according to a decodingmethod that causes the minimum coding error.

The decoder 170 may extract split information of a data unit, such as aprediction unit and a transform unit included in a coding unit. Forexample, the decoder 170 may extract information about a most efficientpartition mode for a prediction unit. The decoder 170 may extracttransformation split information of a most efficient tree structure fora transform unit.

Also, the decoder 170 may obtain information about a most efficientprediction method for prediction units split from a coding unit. Then,the decoder 170 may obtain information about a most efficienttransformation method for transform units split from a coding unit.

The decoder 170 extracts information from a bitstream according to amethod in which the bitstream generator 120 of the image encodingapparatus 100 constructs the bitstream.

The decoder 170 may split a largest coding unit into coding units havinga most efficient tree structure based on split information. Then, thedecoder 170 may split a coding unit into prediction units according toinformation about a partition mode. The decoder 170 may split a codingunit into transform units according to transformation split information.

The decoder 170 may predict a prediction unit according to informationabout a prediction method. The decoder 170 may perform inversequantization and inverse transformation on residual data that is adifference between an original value and a prediction value of a pixelaccording to information about a method of transforming a transformunit. The decoder 170 may reconstruct pixels of a coding unit accordingto a prediction result of the prediction unit and a transformationresult of the transform unit.

FIG. 2 illustrates a process, performed by the image decoding apparatus150, of determining at least one coding unit by splitting a currentcoding unit according to an embodiment.

According to an embodiment, the image decoding apparatus 150 maydetermine a shape of a coding unit by using block shape information, andmay determine a shape according to which the coding unit is to be splitby using split shape information. That is, a coding unit splittingmethod, which is indicated by the split shape information, may bedetermined according to which block shape is indicated by the blockshape information used by the image decoding apparatus 150.

According to an embodiment, the image decoding apparatus 150 may use theblock shape information indicating that the current coding unit has asquare shape. For example, the image decoding apparatus 150 maydetermine whether not to split a square coding unit, whether tovertically split the square coding unit, whether to horizontally splitthe square coding unit, or whether to split the square coding unit intofour coding units according to the split shape information. Referring toFIG. 2 , when block shape information of a current coding unit 200indicates a square shape, a decoder 180 may not split a coding unit 210a having the same size as the current coding unit 200 according to splitshape information indicating not to perform splitting, or may determinecoding units 210 b, 210 c, and 210 d split based on split shapeinformation indicating a preset splitting method.

Referring to FIG. 2 , the image decoding apparatus 150 may determine twocoding units 210 b obtained by vertically splitting the current codingunit 200 based on split shape information indicating to verticallyperform splitting according to an embodiment. The image decodingapparatus 150 may determine two coding units 210 c obtained byhorizontally splitting the current coding unit 200 based on split shapeinformation indicating to horizontally perform splitting. The imagedecoding apparatus 150 may determine four coding units 210 d obtained byvertically and horizontally splitting the current coding unit 200 basedon split shape information indicating to vertically and horizontallyperform splitting. However, it should not be construed that a splitshape for splitting a square coding unit is limited to the above shapes,and the split shape may include various shapes that may be indicated bysplit shape information. Split shapes for splitting a square coding unitwill be described in detail below through various embodiments.

FIG. 3 illustrates a process, performed by the image decoding apparatus150, of determining at least one coding unit by splitting a non-squarecoding unit according to an embodiment.

According to an embodiment, the image decoding apparatus 150 may useblock shape information indicating that a current coding unit has anon-square shape. The image decoding apparatus 150 may determine,according to split shape information, whether not to split the currentnon-square coding unit or whether to split the non-square current codingunit by using a preset method. Referring to FIG. 3 , when block shapeinformation of a current coding unit 300 or 350 indicates a non-squareshape, the image decoding apparatus 150 may not split a coding unit 310or 360 having the same size as the current coding unit 300 or 350according to split shape information indicating not to performsplitting, or may determine coding units 320 a and 320 b, 330 a, 330 b,and 330 c, 370 a and 370 b, 380 a, 380 b, and 380 c that are splitaccording to split shape information indicating a preset splittingmethod. A preset splitting method of splitting a non-square coding unitwill be described in detail below through various embodiments.

According to an embodiment, the image decoding apparatus 150 maydetermine a shape according to which a coding unit is to be split byusing the split shape information, and in this case, the split shapeinformation may indicate the number of at least one coding unitgenerated when the coding unit is split. Referring to FIG. 3 , when thesplit shape information indicates that the current coding unit 300 or350 is split into two coding units, the image decoding apparatus 150 maydetermine two coding units 320 a and 320 b or 370 a and 370 b, which arerespectively included in the current coding unit 300 or 350 by splittingthe current coding unit 300 or 350 based on the split shape information.

According to an embodiment, when the image decoding apparatus 150 splitsthe current coding unit 300 or 350 having the non-square shape based onthe split shape information, the image decoding apparatus 150 may splitthe current coding unit 300 or 350 having the non-square shape, inconsideration of a location of a long side of the current coding unit300 or 350. For example, the image decoding apparatus 150 may determinea plurality of coding units by splitting the current coding unit 300 or350 in a direction of splitting the long side of the current coding unit300 or 350, in consideration of the shape of the current coding unit 300or 350.

According to an embodiment, when the split shape information indicatesthat a coding unit is to be split into an odd number of blocks, theimage decoding apparatus 150 may determine an odd number of coding unitsincluded in the current coding unit 300 or 350. For example, when thesplit shape information indicates that the current coding unit 300 or350 is to be split into three coding units, the image decoding apparatus150 may split the current coding unit 300 or 350 into three coding units330 a, 330 b, and 330 c or 380 a, 380 b, and 380 c. According to anembodiment, the image decoding apparatus 150 may determine the oddnumber of coding units included in the current coding unit 300 or 350,and sizes of the determined coding units may not be uniform. Forexample, a size of the coding unit 330 b or 380 b from among the oddnumber of coding units 330 a, 330 b, and 330 c or 380 a, 380 b, and 380c may be different from sizes of the coding units 330 a and 330 c or 380a and 380 c. That is, coding units that may be determined when thecurrent coding unit 300 or 350 is split may have multiple types withrespect to a size.

According to an embodiment, when the split shape information indicatesthat a coding unit is to be split into an odd number of blocks, theimage decoding apparatus 150 may determine an odd number of coding unitsincluded in the current coding unit 300 or 350 and may put a restrictionon at least one coding unit from among the odd number of coding unitsgenerated by splitting the current coding unit 300 or 350. Referring toFIG. 3 , the image decoding apparatus 150 may decode the coding unit 330b or 380 b at the center of the three coding units 330 a, 330 b, and 330c or 380 a, 380 b, and 380 c generated when the current coding unit 300or 350 is split, in a different manner from the coding units 330 a and330 c or 380 a and 380 c. For example, the image decoding apparatus 150may restrict the coding unit 330 b or 380 b at the center not to befurther split or to be split only a preset number of times, unlike thecoding units 330 a and 330 c or 380 a and 380 c.

FIG. 4 illustrates a process, performed by the image decoding apparatus150, of splitting a coding unit based on at least one of block shapeinformation and split shape information according to an embodiment.

According to an embodiment, the image decoding apparatus 150 maydetermine to split or not to split a square first coding unit 400 intocoding units based on at least one of the block shape information andthe split shape information. According to an embodiment, when the splitshape information indicates to split the first coding unit 400 in ahorizontal direction, the image decoding apparatus 150 may determine asecond coding unit 410 by splitting the first coding unit 400 in ahorizontal direction. A first coding unit, a second coding unit, and athird coding unit used according to an embodiment are terms used tounderstand a relation before and after coding units are split. Forexample, the second coding unit may be determined by splitting the firstcoding unit, and the third coding unit may be determined by splittingthe second coding unit. It will be understood that a relation among thefirst coding unit, the second coding unit, and the third coding unit isapplied to the following descriptions.

According to an embodiment, the image decoding apparatus 150 maydetermine to split the second coding unit 410 into coding units, basedon at least one of the block shape information and the split shapeinformation, or may determine to not split the second coding unit 410.Referring to FIG. 4 , the image decoding apparatus 150 may split thenon-square second coding unit 410, which is determined by splitting thefirst coding unit 400, into one or more third coding units 420 a, or 420b, 420 c, and 420 d based on at least one of the block shape informationand the split shape information, or may not split the non-square secondcoding unit 410. The image decoding apparatus 150 may obtain at leastone of the block shape information and the split shape information, andmay split a plurality of various-shaped second coding units (e.g., 410)by splitting the first coding unit 400, based on at least one of theobtained block shape information and split shape information, and thesecond coding unit 410 may be split by using a splitting method of thefirst coding unit 400, based on at least one of the block shapeinformation and the split shape information. According to an embodiment,when the first coding unit 400 is split into the second coding units 410based on at least one of the block shape information and the split shapeinformation of the first coding unit 400, the second coding unit 410 mayalso be split into the third coding units 420 a, or 420 b, 420 c, and420 d based on at least one of the block shape information and the splitshape information of the second coding unit 410. That is, a coding unitmay be recursively split based on at least one of the block shapeinformation and the split shape information of each coding unit. Amethod that may be used to recursively split the coding unit will bedescribed below through various embodiments.

According to an embodiment, the image decoding apparatus 150 maydetermine to split each of the third coding units 420 a, or 420 b, 420c, and 420 d into coding units, based on at least one of the block shapeinformation and the split shape information, based on at least one ofthe block shape information and the split shape information, or maydetermine to not split the second coding unit 410. According to anembodiment, the image decoding apparatus 150 may split the non-squaresecond coding unit 410 into the odd number of third coding units 420 b,420 c, and 420 d. The image decoding apparatus 150 may put a presetrestriction on a third coding unit from among the odd number of thirdcoding units 420 b, 420 c, and 420 d. For example, the image decodingapparatus 150 may restrict the third coding unit 420 c at a centerlocation from among the odd number of third coding units 420 b, 420 c,and 420 d to be no longer split or to be split a settable number oftimes. Referring to FIG. 4 , the image decoding apparatus 150 mayrestrict the third coding unit 420 c, which is at the center locationfrom among the odd number of third coding units 420 b, 420 c, and 420 dincluded in the non-square second coding unit 410, to be no longersplit, to be split by using a preset splitting method (e.g., split intoonly four coding units or split into a shape corresponding to that intowhich the second coding unit 410 is split), or to be split only a presetnumber of times (e.g., split only n times (where n>0)). However, therestrictions on the third coding unit 420 c at the center location arenot limited to the above-described examples, and may include variousrestrictions for decoding the third coding unit 420 c at the centerlocation differently from the other third coding units 420 b and 420 d.

According to an embodiment, the image decoding apparatus 150 may obtainat least one of block shape information and split shape information,which is used to split a current coding unit, from a preset location inthe current coding unit.

According to an embodiment, when a current coding unit is split into apreset number of coding units, the image decoding apparatus 150 mayselect one of the coding units. Various methods that may be used toselect one of a plurality of coding units will be described belowthrough various embodiments.

According to an embodiment, the image decoding apparatus 150 may split acurrent coding unit into a plurality of coding units, and may determinea coding unit at a preset location.

FIG. 5 illustrates a method, performed by the image decoding apparatus150, of determining a coding unit of a preset location from among an oddnumber of coding units according to an embodiment.

According to an embodiment, the image decoding apparatus 150 may useinformation indicating each of locations of an odd number of codingunits to determine a coding unit at a center location from among the oddnumber of coding units. Referring to FIG. 5 , the image decodingapparatus 150 may determine an odd number of coding units 520 a, 520 b,and 520 c by splitting a current coding unit 500. The image decodingapparatus 150 may determine the coding unit 520 b at a center locationby using information about locations of the odd number of coding units520 a, 520 b, and 520 c. For example, the image decoding apparatus 150may determine the coding unit 520 b of the center location bydetermining the locations of the coding units 520 a, 520 b, and 520 cbased on information indicating locations of preset samples included inthe coding units 520 a, 520 b, and 520 c. In detail, the image decodingapparatus 150 may determine the coding unit 520 b at the center locationby determining the locations of the coding units 520 a, 520 b, and 520 cbased on information indicating locations of top left samples 530 a, 530b, and 530 c of the coding units 520 a, 520 b, and 520 c.

According to an embodiment, the information indicating the locations ofthe top left samples 530 a, 530 b, and 530 c, which are included in thecoding units 520 a, 520 b, and 520 c, respectively, may includeinformation about locations or coordinates of the coding units 520 a,520 b, and 520 c in a picture. According to an embodiment, theinformation indicating the locations of the top left samples 530 a, 530b, and 530 c, which are respectively included in the coding units 520 a,520 b, and 520 c, may include information indicating widths or heightsof the coding units 520 a, 520 b, and 520 c included in the currentcoding unit 500, and the widths or heights may correspond to informationindicating a difference between the coordinates of the coding units 520a, 520 b, and 520 c in the picture. That is, the image decodingapparatus 150 may determine the coding unit 520 b at the center locationby directly using the information about the locations or coordinates ofthe coding units 520 a, 520 b, and 520 c in the picture, or by using theinformation about the widths or heights of the coding units, whichcorrespond to a difference value between the coordinates.

According to an embodiment, information indicating the location of thetop left sample 530 a of the upper coding unit 520 a may includecoordinates (xa, ya), information indicating the location of the topleft sample 530 b of the middle coding unit 520 b may includecoordinates (xb, yb), and information indicating the location of the topleft sample 530 c of the lower coding unit 520 c may include coordinates(xc, yc). The image decoding apparatus 150 may determine the middlecoding unit 520 b by using the coordinates of the top left samples 530a, 530 b, and 530 c which are included in the coding units 520 a, 520 b,and 520 c, respectively. For example, when the coordinates of the topleft samples 530 a, 530 b, and 530 c are sorted in an ascending ordescending order, the coding unit 520 b including the coordinates (xb,yb) of the sample 530 b at a center location may be determined as acoding unit at a center location from among the coding units 520 a, 520b, and 520 c determined by splitting the current coding unit 500.However, the coordinates indicating the locations of the top leftsamples 530 a, 530 b, and 530 c may include coordinates indicatingabsolute locations in the picture, or may use coordinates (dxb, dyb)indicating a relative location of the top left sample 530 b of themiddle coding unit 520 b and coordinates (dxc, dyc) indicating arelative location of the top left sample 530 c of the lower coding unit520 c, with reference to the location of the top left sample 530 a ofthe upper coding unit 520 a. Also, a method of determining a coding unitat a preset location by using coordinates of a sample included in thecoding unit as information indicating a location of the sample is notlimited to the above-described method, and may include variousarithmetic methods capable of using the coordinates of the sample.

According to an embodiment, the image decoding apparatus 150 may splitthe current coding unit 500 into the plurality of coding units 520 a,520 b, and 520 c, and may select one of the coding units 520 a, 520 b,and 520 c based on a preset criterion. For example, the image decodingapparatus 150 may select the coding unit 520 b whose size is differentfrom that of the others, from among the coding units 520 a, 520 b, and520 c.

According to an embodiment, the image decoding apparatus 150 maydetermine the widths or heights of the coding units 520 a, 520 b, and520 c by using the coordinates (xa, ya) indicating the location of thetop left sample 530 a of the upper coding unit 520 a, the coordinates(xb, yb) indicating the location of the top left sample 530 b of themiddle coding unit 520 b, and the coordinates (xc, yc) indicating thelocation of the top left sample 530 c of the lower coding unit 520 c.The image decoding apparatus 150 may determine respective sizes of thecoding units 520 a, 520 b, and 520 c by using the coordinates (xa, ya),(xb, yb), and (xc, yc) indicating the locations of the coding units 520a, 520 b, and 520 c.

According to an embodiment, the image decoding apparatus 150 maydetermine the width of the upper coding unit 520 a to be xb-xa and theheight of the upper coding unit 520 a to be yb-ya. According to anembodiment, the image decoding apparatus 150 may determine the width ofthe middle coding unit 520 b to be xc-xb and the height of the middlecoding unit 520 b to be yc-yb. According to an embodiment, the imagedecoding apparatus 150 may determine the width or height of the lowercoding unit 520 c by using the width or height of the current codingunit 500 and the widths and heights of the upper and middle coding units520 a and 520 b. The image decoding apparatus 150 may determine a codingunit, which has a size different from that of the others, based on thedetermined widths and heights of the coding units 520 a, 520 b, and 520c. Referring to FIG. 5 , the image decoding apparatus 150 may determinethe middle coding unit 520 b, which has a size different from the sizeof the upper and lower coding units 520 a and 520 c, to be the codingunit of the preset location. However, the above-described method,performed by the image decoding apparatus 150, of determining a codingunit having a size different from the size of the other coding unitsmerely corresponds to an example of determining a coding unit at apreset location by using sizes of coding units, which are determinedbased on coordinates of samples, and thus various methods of determininga coding unit at a preset location by comparing sizes of coding units,which are determined based on coordinates of preset samples, may beused.

However, locations of samples considered to determine locations ofcoding units are not limited to the above-described top left locations,and information about arbitrary locations of samples included in thecoding units may be used.

According to an embodiment, the image decoding apparatus 150 may selecta coding unit at a preset location from among an odd number of codingunits determined by splitting a current coding unit, in consideration ofa shape of the current coding unit. For example, when the current codingunit whose width is longer than its height has a non-square shape, theimage decoding apparatus 150 may determine the coding unit at the presetlocation in a horizontal direction. That is, the image decodingapparatus 150 may determine one of coding units at different locationsin a horizontal direction and may put a restriction on the coding unit.When the current coding unit whose height is longer than its width has anon-square shape, the image decoding apparatus 150 may determine thecoding unit at the preset location in a vertical direction. That is, theimage decoding apparatus 150 may determine one of coding units atdifferent locations in a vertical direction and may put a restriction onthe coding unit.

According to an embodiment, the image decoding apparatus 150 may useinformation indicating respective locations of an even number of codingunits, so as to determine the coding unit at the preset location fromamong the even number of coding units. The image decoding apparatus 150may determine an even number of coding units by splitting the currentcoding unit, and may determine the coding unit at the preset location byusing information about locations of the even number of coding units. Anoperation related thereto may correspond to the operation of determininga coding unit at a preset location (e.g., a center location) from amongan odd number of coding units, which has been described in detail abovewith reference to FIG. 5 , and thus detailed descriptions thereof arenot provided here.

According to an embodiment, when a non-square current coding unit issplit into a plurality of coding units, preset information about acoding unit at a preset location may be used in a splitting operation todetermine the coding unit at the preset location from among theplurality of coding units. For example, the image decoding apparatus 150may use at least one of block shape information and split shapeinformation, which is stored in a sample included in a coding unit at acenter location, in a splitting operation to determine the coding unitat the center location from among the plurality of coding unitsdetermined by splitting the current coding unit.

Referring to FIG. 5 , the image decoding apparatus 150 may split thecurrent coding unit 500 into the plurality of coding units 520 a, 520 b,and 520 c based on at least one of the block shape information and thesplit shape information, and may determine the coding unit 520 b at acenter location from among the plurality of the coding units 520 a, 520b, and 520 c. Furthermore, the image decoding apparatus 150 maydetermine the coding unit 520 b at the center location, in considerationof a location from which at least one of the block shape information andthe split shape information is obtained. That is, at least one of theblock shape information and the split shape information of the currentcoding unit 500 may be obtained from a sample 540 at a center locationof the current coding unit 500 and, when the current coding unit 500 issplit into the plurality of coding units 520 a, 520 b, and 520 c basedon at least one of the block shape information and the split shapeinformation, the coding unit 520 b including the sample 540 may bedetermined to be the coding unit at the center location. However,information used to determine the coding unit at the center location isnot limited to at least one of the block shape information and the splitshape information, and various kinds of information may be used todetermine the coding unit at the center location.

According to an embodiment, preset information for identifying thecoding unit at the preset location may be obtained from a preset sampleincluded in a coding unit to be determined. Referring to FIG. 5 , theimage decoding apparatus 150 may use at least one of the block shapeinformation and the split shape information, which is obtained from asample at a preset location in the current coding unit 500 (e.g., asample at a center location of the current coding unit 500) to determinea coding unit at a preset location from among the plurality of thecoding units 520 a, 520 b, and 520 c determined by splitting the currentcoding unit 500 (e.g., a coding unit at a center location from among aplurality of split coding units). That is, the image decoding apparatus150 may determine the sample at the preset location by referring to ablock shape of the current coding unit 500, may determine the codingunit 520 b including a sample, from which preset information (e.g., atleast one of the block shape information and the split shapeinformation) may be obtained, from among the plurality of coding units520 a, 520 b, and 520 c determined by splitting the current coding unit500, and may put a preset restriction on the coding unit 520 b.Referring to FIG. 5 , according to an embodiment, the image decodingapparatus 150 may determine the sample 540 at the center location of thecurrent coding unit 500 as the sample from which the preset informationmay be obtained, and may put a preset restriction on the coding unit 520b including the sample 540, in a decoding operation. However, thelocation of the sample from which the preset information may be obtainedis not limited to the above-described location, and may includearbitrary locations of samples included in the coding unit 520 b to bedetermined for a restriction.

According to an embodiment, the location of the sample from which thepreset information may be obtained may be determined based on a shape ofthe current coding unit 500. According to an embodiment, the block shapeinformation may indicate whether the current coding unit has a square ornon-square shape, and the location of the sample from which the presetinformation may be obtained may be determined based on the shape. Forexample, the image decoding apparatus 150 may determine a sample locatedon a boundary for splitting at least one of a width and height of thecurrent coding unit in half, as the sample from which the presetinformation may be obtained, by using at least one of information aboutthe width of the current coding unit and information about the height ofthe current coding unit. As another example, when the block shapeinformation of the current coding unit indicates a non-square shape, theimage decoding apparatus 150 may determine one of samples adjacent to aboundary for splitting a long side of the current coding unit in half,as the sample from which the preset information may be obtained.

According to an embodiment, when the current coding unit is split into aplurality of coding units, the image decoding apparatus 150 may use atleast one of the block shape information and the split shape informationso as to determine a coding unit at a preset location from among theplurality of coding units. According to an embodiment, the imagedecoding apparatus 150 may obtain at least one of the block shapeinformation and the split shape information from a sample at a presetlocation in a coding unit, and may split the plurality of coding units,which are generated by splitting the current coding unit, by using atleast one of the split shape information and the block shapeinformation, which is obtained from the sample of the preset location ineach of the plurality of coding units. That is, a coding unit may berecursively split based on at least one of the block shape informationand the split shape information, which is obtained from the sample atthe preset location in each coding unit. An operation of recursivelysplitting a coding unit has been described above with reference to FIG.4 , and thus detailed descriptions thereof will not be provided here.

According to an embodiment, the image decoding apparatus 150 maydetermine one or more coding units by splitting the current coding unit,and may determine an order of decoding the one or more coding unitsbased on a preset block (e.g., the current coding unit).

FIG. 6 illustrates an order of processing a plurality of coding unitswhen the image decoding apparatus 150 determines the plurality of codingunits by splitting a current coding unit according to an embodiment.

According to an embodiment, the image decoding apparatus 150 maydetermine second coding units 610 a and 610 b by splitting a firstcoding unit 600 in a vertical direction, may determine second codingunits 630 a and 630 b by splitting the first coding unit 600 in ahorizontal direction, or may determine second coding units 650 a to 650d by splitting the first coding unit 600 in vertical and horizontaldirections, based on block shape information and split shapeinformation.

Referring to FIG. 6 , the image decoding apparatus 150 may determine toprocess the second coding units 610 a and 610 b, which are determined bysplitting the first coding unit 600 in a vertical direction, in ahorizontal direction order 610 c. The image decoding apparatus 150 maydetermine to process the second coding units 630 a and 630 b, which aredetermined by splitting the first coding unit 600 in a horizontaldirection, in a vertical direction order 630 c. The image decodingapparatus 150 may determine the second coding units 650 a to 650 d,which are determined by splitting the first coding unit 600 in verticaland horizontal directions, according to a preset order (e.g., a rasterscan order or a Z-scan order 650 e) by which coding units in a row areprocessed and then coding units in a next row are processed.

According to an embodiment, the image decoding apparatus 150 mayrecursively split coding units. Referring to FIG. 6 , the image decodingapparatus 150 may determine the plurality of second coding units 610 a,610 b, 630 a, 630 b, 650 a, 650 b, 650 c, and 650 d by splitting thefirst coding unit 600, and may recursively split each of the determinedplurality of second coding units 610 a, 610 b, 630 a, 630 b, 650 a, 650b, 650 c, and 650 d. A method of splitting the plurality of secondcoding units 610 a, 610 b, 630 a, 630 b, 650 a, 650 b, 650 c, and 650 dmay correspond to a method of splitting the first coding unit 600.Accordingly, each of the plurality of second coding units 610 a, 610 b,630 a, 630 b, 650 a, 650 b, 650 c, and 650 d may be independently splitinto a plurality of coding units. Referring to FIG. 6 , the imagedecoding apparatus 150 may determine the second coding units 610 a and610 b by splitting the first coding unit 600 in a vertical direction,and may determine to independently split or to not split each of thesecond coding units 610 a and 610 b.

According to an embodiment, the image decoding apparatus 150 maydetermine third coding units 620 a and 620 b by splitting the leftsecond coding unit 610 a in a horizontal direction, and may not splitthe right second coding unit 610 b.

According to an embodiment, a processing order of coding units may bedetermined based on an operation of splitting a coding unit. In otherwords, a processing order of split coding units may be determined basedon a processing order of coding units immediately before being split.The image decoding apparatus 150 may determine a processing order of thethird coding units 620 a and 620 b determined by splitting the leftsecond coding unit 610 a, independently of the right second coding unit610 b. Because the third coding units 620 a and 620 b are determined bysplitting the left second coding unit 610 a in a horizontal direction,the third coding units 620 a and 620 b may be processed in a verticaldirection order 620 c. Because the left and right second coding units610 a and 610 b are processed in the horizontal direction order 610 c,the right second coding unit 610 b may be processed after the thirdcoding units 620 a and 620 b included in the left second coding unit 610a are processed in the vertical direction order 620 c. An operation ofdetermining a processing order of coding units based on a coding unitbefore being split is not limited to the above-described example, andvarious methods may be used to independently process coding units, whichare split and determined to various shapes, in a preset order.

FIG. 7 illustrates a process, performed by the image decoding apparatus150, of determining that a current coding unit is to be split into anodd number of coding units when the coding units are not processable ina preset order according to an embodiment.

According to an embodiment, the image decoding apparatus 150 maydetermine that the current coding unit is to be split into an odd numberof coding units, based on obtained block shape information and splitshape information. Referring to FIG. 7 , a square first coding unit 700may be split into non-square second coding units 710 a and 710 b, andthe second coding units 710 a and 710 b may be independently split intothird coding units 720 a and 720 b, and 720 c, 720 d, and 720 e.According to an embodiment, the image decoding apparatus 150 maydetermine the plurality of third coding units 720 a and 720 b bysplitting the left second coding unit 710 a in a horizontal direction,and may split the right second coding unit 710 b into an odd number ofthird coding units 720 c, 720 d, and 720 e.

According to an embodiment, the image decoding apparatus 150 maydetermine whether any coding unit is split into an odd number of codingunits, by determining whether the third coding units 720 a and 720 b,and 720 c, 720 d, and 720 e are processable in a preset order. Referringto FIG. 7 , the image decoding apparatus 150 may determine the thirdcoding units 720 a and 720 b, and 720 c, 720 d, and 720 e by recursivelysplitting the first coding unit 700. The image decoding apparatus 150may determine whether any of the first coding unit 700, the secondcoding units 710 a and 710 b, and the third coding units 720 a and 720b, and 720 c, 720 d, and 720 e is to be split into an odd number ofcoding units, based on at least one of block shape information and splitshape information. For example, a second coding unit located in theright from among the second coding units 710 a and 710 b may be splitinto an odd number of third coding units 720 c, 720 d, and 720 e. Aprocessing order of a plurality of coding units included in the firstcoding unit 700 may be a preset order (e.g., a Z-scan order 730), andthe image decoding apparatus 150 may determine whether the third codingunits 720 c, 720 d, and 720 e, which are determined by splitting theright second coding unit 710 b into an odd number of coding units,satisfy a condition for processing in the preset order.

According to an embodiment, the image decoding apparatus 150 maydetermine whether the third coding units 720 a and 720 b, and 720 c, 720d, and 720 e included in the first coding unit 700 satisfy the conditionfor processing in the preset order, and the condition relates to whetherat least one of a width and height of the second coding units 710 a and710 b is to be split in half along a boundary of the third coding units720 a and 720 b, and 720 c, 720 d, and 720 e. For example, although thethird coding units 720 a and 720 b determined by splitting the height ofthe non-square left second coding unit 710 a in half may satisfy thecondition, because boundaries of the third coding units 720 c, 720 d,and 720 e determined by splitting the right second coding unit 710 binto three coding units do not split the width or height of the rightsecond coding unit 710 b in half, it may be determined that the thirdcoding units 720 c, 720 d, and 720 e do not satisfy the condition. Whenthe condition is not satisfied as described above, the image decodingapparatus 150 may decide disconnection of a scan order, and maydetermine that the right second coding unit 710 b is to be split into anodd number of coding units, based on a result of the decision. Accordingto an embodiment, when a coding unit is split into an odd number ofcoding units, the image decoding apparatus 150 may put a presetrestriction on a coding unit at a preset location from among the splitcoding units, and the restriction or the preset location has beendescribed above through various embodiments and thus detaileddescriptions thereof will not be provided here.

FIG. 8 illustrates a process, performed by the image decoding apparatus150, of determining at least one coding unit by splitting a first codingunit 800 according to an embodiment. According to an embodiment, theimage decoding apparatus 150 may split the first coding unit 800, basedon at least one of block shape information and split shape information,which is obtained by the receiver 160. The square first coding unit 800may be split into four square coding units, or may be split into aplurality of non-square coding units. For example, referring to FIG. 8 ,when the block shape information indicates that the first coding unit800 has a square shape and the split shape information indicates tosplit the first coding unit 800 into non-square coding units, the imagedecoding apparatus 150 may split the first coding unit 800 into aplurality of non-square coding units. In detail, when the split shapeinformation indicates to determine an odd number of coding units bysplitting the first coding unit 800 in a horizontal direction or avertical direction, the image decoding apparatus 150 may split thesquare first coding unit 800 into an odd number of coding units, e.g.,second coding units 810 a, 810 b, and 810 c determined by splitting thesquare first coding unit 800 in a vertical direction or second codingunits 820 a, 820 b, and 820 c determined by splitting the square firstcoding unit 800 in a horizontal direction.

According to an embodiment, the image decoding apparatus 150 maydetermine whether the second coding units 810 a, 810 b, and 810 c, and820 a, 820 b, and 820 c which are included in the first coding unit 800satisfy a condition for processing in a preset order, and the conditionrelates to whether at least one of a width and height of the firstcoding unit 800 is split in half along a boundary of the second codingunits 810 a, 810 b, and 810 c, and 820 a, 820 b, and 820 c. Referring toFIG. 8 , because boundaries of the second coding units 810 a, 810 b, and810 c determined by splitting the square first coding unit 800 in avertical direction do not split the width of the first coding unit 800in half, it may be determined that the first coding unit 800 does notsatisfy the condition for processing in the preset order. In addition,because boundaries of the second coding units 820 a, 820 b, and 820 cdetermined by splitting the square first coding unit 800 in a horizontaldirection do not split the width of the first coding unit 800 in half,it may be determined that the first coding unit 800 does not satisfy thecondition for processing in the preset order. When the condition is notsatisfied as described above, the image decoding apparatus 150 maydecide disconnection of a scan order, and may determine that the firstcoding unit 800 is to be split into an odd number of coding units, basedon a result of the decision. According to an embodiment, when a codingunit is split into an odd number of coding units, the image decodingapparatus 150 may put a preset restriction on a coding unit at a presetlocation from among the split coding units, and the restriction or thepreset location has been described above through various embodiments andthus detailed descriptions thereof will not be provided here.

According to an embodiment, the image decoding apparatus 150 maydetermine various-shaped coding units by splitting a first coding unit.

Referring to FIG. 8 , the image decoding apparatus 150 may split thesquare first coding unit 800 or a non-square first coding unit 830 or850 into various-shaped coding units.

FIG. 9 illustrates that a shape into which a second coding unit issplittable by the image decoding apparatus 150 is restricted when anon-square second coding unit determined by splitting a first codingunit 900 satisfies a preset condition according to an embodiment.

According to an embodiment, the image decoding apparatus 150 maydetermine to split the square first coding unit 900 into non-squaresecond coding units 910 a, 910 b, 920 a, and 920 b, based on at leastone of block shape information and split shape information, which isobtained by the receiver 160. The second coding units 910 a, 910 b, 920a, and 920 b may be independently split. As such, the image decodingapparatus 150 may determine to split the first coding unit 900 into aplurality of coding units, based on at least one of the block shapeinformation and the split shape information of each of the second codingunits 910 a, 910 b, 920 a, and 920 b, or may determine to not split thefirst coding unit 900. According to an embodiment, the image decodingapparatus 150 may determine third coding units 912 a and 912 b bysplitting the non-square left second coding unit 910 a, which isdetermined by splitting the first coding unit 900 in a verticaldirection, in a horizontal direction. However, when the left secondcoding unit 910 a is split in a horizontal direction, the image decodingapparatus 150 may restrict the right second coding unit 910 b to not besplit in a horizontal direction in which the left second coding unit 910a is split. When third coding units 914 a and 914 b are determined bysplitting the right second coding unit 910 b in the same direction,because the left and right second coding units 910 a and 910 b areindependently split in a horizontal direction, the third coding units912 a and 912 b, and 914 a and 914 b may be determined. However, thiscase serves equally as a case in which the image decoding apparatus 150splits the first coding unit 900 into four square second coding units930 a, 930 b, 930 c, and 930 d, based on at least one of the block shapeinformation and the split shape information, and may be inefficient interms of image decoding.

According to an embodiment, the image decoding apparatus 150 maydetermine third coding units 922 a and 922 b, or third coding units 924a and 924 b by splitting the non-square second coding unit 920 a or 920b, which is determined by splitting the first coding unit 900 in ahorizontal direction, in a vertical direction. However, when a secondcoding unit (e.g., the upper second coding unit 920 a) is split in avertical direction, for the above-described reason, the image decodingapparatus 150 may restrict the other second coding unit (e.g., the lowersecond coding unit 920 b) to not be split in a vertical direction inwhich the upper second coding unit 920 a is split.

FIG. 10 illustrates a process, performed by the image decoding apparatus150, of splitting a square coding unit when split shape informationcannot indicate that the square coding unit is to be split into foursquare coding units according to an embodiment.

According to an embodiment, the image decoding apparatus 150 maydetermine second coding units 1010 a, 1010 b, 1020 a, 1020 b, etc. bysplitting a first coding unit 1000, based on at least one of block shapeinformation and split shape information. The split shape information mayinclude information about various shapes by which a coding unit may besplit, but, the information about various shapes may not be able toinclude information for splitting a coding unit into four square codingunits. According to such split shape information, the image decodingapparatus 150 cannot split the first square coding unit 1000 into foursquare second coding units 1030 a, 1030 b, 1030 c, and 1030 d. The imagedecoding apparatus 150 may determine the non-square second coding units1010 a, 1010 b, 1020 a, 1020 b, etc., based on the split shapeinformation.

According to an embodiment, the image decoding apparatus 150 mayindependently split each of the non-square second coding units 1010 a,1010 b, 1020 a, 1020 b, etc. Each of the second coding units 1010 a,1010 b, 1020 a, 1020 b, etc. may be recursively split in a preset order,and this splitting method may correspond to a method of splitting thefirst coding unit 1000 based on at least one of the block shapeinformation and the split shape information.

For example, the image decoding apparatus 150 may determine square thirdcoding units 1012 a and 1012 b by splitting the left second coding unit1010 a in a horizontal direction, and may determine square third codingunits 1014 a and 1014 b by splitting the right second coding unit 1010 bin a horizontal direction. Furthermore, the image decoding apparatus 150may determine square third coding units 1016 a, 1016 b, 1016 c, and 1016d by splitting both the left and right second coding units 1010 a and1010 b in a horizontal direction. In this case, coding units having thesame shape as the four square second coding units 1030 a, 1030 b, 1030c, and 1030 d split from the first coding unit 1000 may be determined.

As another example, the image decoding apparatus 150 may determinesquare third coding units 1022 a and 1022 b by splitting the uppersecond coding unit 1020 a in a vertical direction, and may determinesquare third coding units 1024 a and 1024 b by splitting the lowersecond coding unit 1020 b in a vertical direction. Furthermore, theimage decoding apparatus 150 may determine square third coding units1026 a, 1026 b, 1026 c, and 1026 d by splitting both the upper and lowersecond coding units 1020 a and 1020 b in a vertical direction. In thiscase, coding units having the same shape as the four square secondcoding units 1030 a, 1030 b, 1030 c, and 1030 d split from the firstcoding unit 1000 may be determined.

FIG. 11 illustrates that a processing order between a plurality ofcoding units may be changed depending on a process of splitting a codingunit according to an embodiment.

According to an embodiment, the image decoding apparatus 150 may split afirst coding unit 1100 based on block shape information and split shapeinformation. When the block shape information indicates a square shapeand the split shape information indicates to split the first coding unit1100 in at least one of horizontal and vertical directions, the imagedecoding apparatus 150 may determine second coding units (e.g., secondcoding units 1110 a, 1110 b, 1120 a, 1120 b, 1130 a, 1130 b, 1130 c,1130 d, etc.) by splitting the first coding unit 1100. Referring to FIG.11 , the non-square second coding units 1110 a, 1110 b, 1120 a, and 1120b determined by splitting the first coding unit 1100 in only ahorizontal direction or vertical direction may be independently splitbased on the block shape information and the split shape information ofeach coding unit. For example, the image decoding apparatus 150 maydetermine third coding units 1116 a, 1116 b, 1116 c, and 1116 d bysplitting the second coding units 1110 a and 1110 b, which are generatedby splitting the first coding unit 1100 in a vertical direction, in ahorizontal direction, and may determine third coding units 1126 a, 1126b, 1126 c, and 1126 d by splitting the second coding units 1120 a and1120 b, which are generated by splitting the first coding unit 1100 in ahorizontal direction, in a vertical direction. An operation of splittingthe second coding units 1110 a, 1110 b, 1120 a, and 1120 b is describedabove with reference to FIG. 9 , and thus detailed descriptions thereofwill not be provided here.

According to an embodiment, the image decoding apparatus 150 may processcoding units in a preset order. An operation of processing coding unitsin a preset order has been described above with reference to FIG. 6 ,and thus detailed descriptions thereof will not be provided here.Referring to FIG. 11 , the image decoding apparatus 150 may determinefour square third coding units 1116 a, 1116 b, 1116 c, and 1116 d, and1126 a, 1126 b, 1126 c, and 1126 d by splitting the square first codingunit 1100. According to an embodiment, the image decoding apparatus 150may determine processing orders of the third coding units 1116 a, 1116b, 1116 c, and 1116 d, and 1126 a, 1126 b, 1126 c, and 1126 d based onshapes by which the first coding unit 1100 is split.

According to an embodiment, the image decoding apparatus 150 maydetermine the third coding units 1116 a, 1116 b, 1116 c, and 1116 d bysplitting the second coding units 1110 a and 1110 b generated bysplitting the first coding unit 1100 in a vertical direction, in ahorizontal direction, and may process the third coding units 1116 a,1116 b, 1116 c, and 1116 d in a processing order 1117 for initiallyprocessing the third coding units 1116 a and 1116 c, which are includedin the left second coding unit 1110 a, in a vertical direction and thenprocessing the third coding unit 1116 b and 1116 d, which are includedin the right second coding unit 1110 b, in a vertical direction.

According to an embodiment, the image decoding apparatus 150 maydetermine the third coding units 1126 a, 1126 b, 1126 c, and 1126 d bysplitting the second coding units 1120 a and 1120 b generated bysplitting the first coding unit 1100 in a horizontal direction, in avertical direction, and may process the third coding units 1126 a, 1126b, 1126 c, and 1126 d in a processing order 1127 for initiallyprocessing the third coding units 1126 a and 1126 b, which are includedin the upper second coding unit 1120 a, in a horizontal direction andthen processing the third coding unit 1126 c and 1126 d, which areincluded in the lower second coding unit 1120 b, in a horizontaldirection.

Referring to FIG. 11 , the square third coding units 1116 a, 1116 b,1116 c, and 1116 d, and 1126 a, 1126 b, 1126 c, and 1126 d may bedetermined by splitting the second coding units 1110 a, 1110 b, 1120 a,and 1120 b, respectively. Although the second coding units 1110 a and1110 b are determined by splitting the first coding unit 1100 in avertical direction differently from the second coding units 1120 a and1120 b which are determined by splitting the first coding unit 1100 in ahorizontal direction, the third coding units 1116 a, 1116 b, 1116 c, and1116 d, and 1126 a, 1126 b, 1126 c, and 1126 d split therefromeventually show same-shaped coding units split from the first codingunit 1100. As such, by recursively splitting a coding unit in differentmanners based on at least one of the block shape information and thesplit shape information, the image decoding apparatus 150 may process aplurality of coding units in different orders even when the coding unitsare eventually determined to have the same shape.

FIG. 12 illustrates a process of determining a depth of a coding unit asa shape and a size of the coding unit change, when the coding unit isrecursively split such that a plurality of coding units are determinedaccording to an embodiment.

According to an embodiment, the image decoding apparatus 150 maydetermine the depth of the coding unit based on a preset criterion. Forexample, the preset criterion may be the length of a long side of thecoding unit. When the length of a long side of a coding unit beforebeing split is 2n times (n>0) the length of a long side of a splitcurrent coding unit, the image decoding apparatus 150 may determine thata depth of the current coding unit is increased from a depth of thecoding unit before being split, by n. In the following descriptions, acoding unit having an increased depth is represented as a coding unit ofa deeper depth.

Referring to FIG. 12 , according to an embodiment, the image decodingapparatus 150 may determine a second coding unit 1202, a third codingunit 1204, etc. of deeper depths by splitting a square first coding unit1200 based on block shape information indicating a square shape (e.g.,the block shape information may indicate ‘0: SQUARE’). Assuming that thesize of the square first coding unit 1200 is 2N×2N, the second codingunit 1202 determined by splitting a width and height of the first codingunit 1200 in half may have a size of N×N. Furthermore, the third codingunit 1204 determined by splitting a width and height of the secondcoding unit 1202 in half may have a size of N/2×N/2. In this case, awidth and height of the third coding unit 1204 correspond to ½ timesthose of the first coding unit 1200. When a depth of the first codingunit 1200 is D, a depth of the second coding unit 1202, the width andheight of which are ½ times those of the first coding unit 1200, may beD+1, and a depth of the third coding unit 1204, the width and height ofwhich are ½ times those of the first coding unit 1200, may be D+2.

According to an embodiment, the image decoding apparatus 150 maydetermine a second coding unit 1212 or 1222, a third coding unit 1214 or1224, etc. of deeper depths by splitting a non-square first coding unit1210 or 1220 based on block shape information indicating a non-squareshape (e.g., the block shape information may indicate ‘1: NS_VER’indicating a non-square shape, a height of which is longer than itswidth, or as ‘2: NS_HOR’ indicating a non-square shape, a width of whichis longer than its height).

The image decoding apparatus 150 may determine the second coding unit1202, 1212, or 1222 by splitting at least one of a width and height ofthe first coding unit 1210 having a size of N×2N. That is, the imagedecoding apparatus 150 may determine the second coding unit 1202 havinga size of N×N or the second coding unit 1222 having a size of N×N/2 bysplitting the first coding unit 1210 in a horizontal direction, or maydetermine the second coding unit 1212 having a size of N/2×N bysplitting the first coding unit 1210 in horizontal and verticaldirections.

According to an embodiment, the image decoding apparatus 150 maydetermine the second coding unit 1202, 1212, or 1222 by splitting atleast one of a width and height of the first coding unit 1220 having asize of 2N×N. That is, the image decoding apparatus 150 may determinethe second coding unit 1202 having a size of N×N or the second codingunit 1212 having a size of N/2×N by splitting the first coding unit 1220in a vertical direction, or may determine the second coding unit 1222having a size of N×N/2 by splitting the first coding unit 1220 inhorizontal and vertical directions.

According to an embodiment, the image decoding apparatus 150 maydetermine the third coding unit 1204, 1214, or 1224 by splitting atleast one of a width and height of the second coding unit 1202 having asize of N×N. That is, the image decoding apparatus 150 may determine thethird coding unit 1204 having a size of N/2×N/2, the third coding unit1214 having a size of N/2×N/2, or the third coding unit 1224 having asize of N/2×N/2 by splitting the second coding unit 1202 in vertical andhorizontal directions.

According to an embodiment, the image decoding apparatus 150 maydetermine the third coding unit 1204, 1214, or 1224 by splitting atleast one of a width and height of the second coding unit 1212 having asize of N/2×N. That is, the image decoding apparatus 150 may determinethe third coding unit 1204 having a size of N/2×N/2 or the third codingunit 1224 having a size of N/2×N/2 by splitting the second coding unit1212 in a horizontal direction, or may determine the third coding unit1214 having a size of N/2×N/2 by splitting the second coding unit 1212in vertical and horizontal directions.

According to an embodiment, the image decoding apparatus 150 maydetermine the third coding unit 1204, 1214, or 1224 by splitting atleast one of a width and height of the second coding unit 1214 having asize of N×N/2. That is, the image decoding apparatus 150 may determinethe third coding unit 1204 having a size of N/2×N/2 or the third codingunit 1214 having a size of N/2×N/2 by splitting the second coding unit1212 in a vertical direction, or may determine the third coding unit1224 having a size of N/2×N/2 by splitting the second coding unit 1212in vertical and horizontal directions.

According to an embodiment, the image decoding apparatus 150 may split asquare coding unit (e.g., 1200, 1202, or 1204) in a horizontal orvertical direction. For example, the image decoding apparatus 150 maydetermine the first coding unit 1210 having a size of N×2N by splittingthe first coding unit 1200 having a size of 2N×2N in a verticaldirection, or may determine the first coding unit 1220 having a size of2N×N by splitting the first coding unit 1200 in a horizontal direction.According to an embodiment, when a depth is determined based on thelength of a longest side of a coding unit, a depth of a coding unitdetermined by splitting the first coding unit 1200, 1202, or 1204 havinga size of 2N×2N in a horizontal or vertical direction may be the same asa depth of the first coding unit 1200, 1202, or 1204.

According to an embodiment, a width and height of the third coding unit1214 or 1224 may be ½ times those of the first coding unit 1210 or 1220.When a depth of the first coding unit 1210 or 1220 is D, a depth of thesecond coding unit 1212 or 1214, the width and height of which are ½times those of the first coding unit 1210 or 1220, may be D+1, and adepth of the third coding unit 1214 or 1224, the width and height ofwhich are ½ times those of the first coding unit 1210 or 1220, may beD+2.

FIG. 13 illustrates depths that are determinable based on shapes andsizes of coding units, and part indexes (PIDs) that are for identifyingthe coding units according to an embodiment.

According to an embodiment, the image decoding apparatus 150 maydetermine various-shaped second coding units by splitting a square firstcoding unit 1300. Referring to FIG. 13 , the image decoding apparatus150 may determine second coding units 1302 a and 1302 b, 1304 a and 1304b, and 1306 a, 1306 b, 1306 c, and 1306 d by splitting the first codingunit 1300 in at least one of vertical and horizontal directions based onsplit shape information. That is, the image decoding apparatus 150 maydetermine the second coding units 1302 a and 1302 b, 1304 a and 1304 b,and 1306 a, 1306 b, 1306 c, and 1306 d, based on the split shapeinformation of the first coding unit 1300.

According to an embodiment, a depth of the second coding units 1302 aand 1302 b, 1304 a and 1304 b, and 1306 a, 1306 b, 1306 c, and 1306 d,which are determined based on the split shape information of the squarefirst coding unit 1300, may be determined based on the length of a longside thereof. For example, because the length of a side of the squarefirst coding unit 1300 is equal to the length of a long side of thenon-square second coding units 1302 a and 1302 b, and 1304 a and 1304 b,the first coding unit 1300 and the non-square second coding units 1302 aand 1302 b, and 1304 a and 1304 b may have the same depth, e.g., D.However, when the image decoding apparatus 150 splits the first codingunit 1300 into the four square second coding units 1306 a, 1306 b, 1306c, and 1306 d based on the split shape information, because the lengthof a side of the square second coding units 1306 a, 1306 b, 1306 c, and1306 d is ½ times the length of a side of the first coding unit 1300, adepth of the second coding units 1306 a, 1306 b, 1306 c, and 1306 d maybe D+1 which is deeper than the depth D of the first coding unit 1300 by1.

According to an embodiment, the image decoding apparatus 150 maydetermine a plurality of second coding units 1312 a and 1312 b, and 1314a, 1314 b, and 1314 c by splitting a first coding unit 1310, a height ofwhich is longer than its width, in a horizontal direction based on thesplit shape information. According to an embodiment, the image decodingapparatus 150 may determine a plurality of second coding units 1322 aand 1322 b, and 1324 a, 1324 b, and 1324 c by splitting a first codingunit 1320, a width of which is longer than its height, in a verticaldirection based on the split shape information.

According to an embodiment, a depth of the second coding units 1312 a,1312 b, 1314 a, 1314 b, and 1314 c, or 1322 a, 1322 b, 1324 a, 1324 b,and 1324 c, which are determined based on the split shape information ofthe non-square first coding unit 1310 or 1320, may be determined basedon the length of a long side thereof. For example, because the length ofa side of the square second coding units 1312 a and 1312 b is ½ timesthe length of a side of the first coding unit 1310 having a non-squareshape, a height of which is longer than its width, a depth of the squaresecond coding units 1302 a, 1302 b, 1304 a, and 1304 b is D+1 which isdeeper than the depth D of the non-square first coding unit 1310 by 1.

Furthermore, the image decoding apparatus 150 may split the non-squarefirst coding unit 1310 into an odd number of second coding units 1314 a,1314 b, and 1314 c, based on the split shape information. The odd numberof second coding units 1314 a, 1314 b, and 1314 c may include thenon-square second coding units 1314 a and 1314 c and the square secondcoding unit 1314 b. In this case, because the length of a long side ofthe non-square second coding units 1314 a and 1314 c and the length of aside of the square second coding unit 1314 b are ½ times the length of aside of the first coding unit 1310, a depth of the second coding units1314 a, 1314 b, and 1314 c may be D+1 which is deeper than the depth Dof the first coding unit 1310 by 1. The image decoding apparatus 150 maydetermine depths of coding units split from the non-square first codingunit 1320, a width of which is longer than its height, by using theabove-described method of determining depths of coding units split fromthe first coding unit 1310.

According to an embodiment, the image decoding apparatus 150 maydetermine PIDs for identifying split coding units, based on a size ratiobetween the coding units when an odd number of split coding units do nothave equal sizes. Referring to FIG. 13 , the coding unit 1314 b of acenter location among the odd number of split coding units 1314 a, 1314b, and 1314 c may have a width which is equal to that of the othercoding units 1314 a and 1314 c and a height which is two times that ofthe other coding units 1314 a and 1314 c. That is, in this case, thecoding unit 1314 b at the center location may include two of the othercoding unit 1314 a or 1314 c. Therefore, when a PID of the coding unit1314 b at the center location is 1 based on a scan order, a PID of thecoding unit 1314 c located next to the coding unit 1314 b may beincreased by 2 and thus may be 3. That is, discontinuity in PID valuesmay be present. According to an embodiment, the image decoding apparatus150 may determine whether an odd number of split coding units do nothave equal sizes based on whether discontinuity is present in PIDs foridentifying the split coding units.

According to an embodiment, the image decoding apparatus 150 maydetermine whether to use a specific splitting method based on PID valuesfor identifying a plurality of coding units determined by splitting acurrent coding unit. Referring to FIG. 13 , the image decoding apparatus150 may determine an even number of coding units 1312 a and 1312 b or anodd number of coding units 1314 a, 1314 b, and 1314 c by splitting thefirst coding unit 1310 having a rectangular shape, a height of which islonger than its width. The image decoding apparatus 150 may use PIDsindicating respective coding units so as to identify the respectivecoding units. According to an embodiment, the PID may be obtained from asample of a preset location (e.g., a top left sample) of each codingunit.

According to an embodiment, the image decoding apparatus 150 maydetermine a coding unit at a preset location from among the split codingunits, by using the PI Ds for identifying the coding units. According toan embodiment, when the split shape information of the first coding unit1310 having a rectangular shape, a height of which is longer than itswidth, indicates to split a coding unit into three coding units, theimage decoding apparatus 150 may split the first coding unit 1310 intothree coding units 1314 a, 1314 b, and 1314 c. The image decodingapparatus 150 may assign a PID to each of the three coding units 1314 a,1314 b, and 1314 c. The image decoding apparatus 150 may compare PIDs ofan odd number of split coding units to determine a coding unit at acenter location from among the coding units. The image decodingapparatus 150 may determine the coding unit 1314 b having a PIDcorresponding to a middle value among the PIDs of the coding units, asthe coding unit at the center location from among the coding unitsdetermined by splitting the first coding unit 1310. According to anembodiment, the image decoding apparatus 150 may determine PIDs foridentifying split coding units, based on a size ratio between the codingunits when the split coding units do not have equal sizes. Referring toFIG. 13 , the coding unit 1314 b generated by splitting the first codingunit 1310 may have a width which is equal to that of the other codingunits 1314 a and 1314 c and a height which is two times that of theother coding units 1314 a and 1314 c. In this case, when the PID of thecoding unit 1314 b at the center location is 1, the PID of the codingunit 1314 c located next to the coding unit 1314 b may be increased by 2and thus may be 3. When the PID is not uniformly increased as describedabove, the image decoding apparatus 150 may determine that a coding unitis split into a plurality of coding units including a coding unit havinga size different from that of the other coding units. According to anembodiment, when the split shape information indicates to split a codingunit into an odd number of coding units, the image decoding apparatus150 may split a current coding unit in such a manner that a coding unitof a preset location (e.g., a coding unit of a center location) among anodd number of coding units has a size different from that of the othercoding units. In this case, the image decoding apparatus 150 maydetermine the coding unit of the center location, which has a differentsize, by using PIDs of the coding units. However, the PID and the sizeor location of the coding unit of the preset location to be determinedare not limited to the above-described examples, and various PI Ds andvarious locations and sizes of coding units may be used.

According to an embodiment, the image decoding apparatus 150 may use apreset data unit where a coding unit starts to be recursively split.

FIG. 14 illustrates that a plurality of coding units are determinedbased on a plurality of preset data units included in a pictureaccording to an embodiment.

According to an embodiment, a preset data unit may be defined as a dataunit where a coding unit starts to be recursively split by using atleast one of block shape information and split shape information. Thatis, the preset data unit may correspond to a coding unit of an uppermostdepth, which is used to determine a plurality of coding units split froma current picture. In the following descriptions, for convenience ofexplanation, the preset data unit is referred to as a reference dataunit.

According to an embodiment, the reference data unit may have a presetsize and a preset shape. According to an embodiment, the reference dataunit may include M×N samples. Herein, M and N may be equal to eachother, and may be integers expressed as powers of 2. That is, thereference data unit may have a square or non-square shape, and may besplit into an integer number of coding units.

According to an embodiment, the image decoding apparatus 150 may split acurrent picture into a plurality of reference data units. According toan embodiment, the image decoding apparatus 150 may split the pluralityof reference data units, which are split from the current picture, byusing split shape information for each reference data unit. An operationof splitting the reference data unit may correspond to a splittingoperation using a quadtree structure.

According to an embodiment, the image decoding apparatus 150 maypreviously determine a minimum size allowed for the reference data unitsincluded in the current picture. Accordingly, the image decodingapparatus 150 may determine various reference data units having sizesequal to or greater than the minimum size, and may determine one or morecoding units by using the split shape information and block shapeinformation with reference to the determined reference data units.

Referring to FIG. 14 , the image decoding apparatus 150 may use a squarereference coding unit 1400 or a non-square reference coding unit 1402.According to an embodiment, the shape and size of reference coding unitsmay be determined based on various data units capable of including oneor more reference coding units (e.g., sequences, pictures, slices, slicesegments, tiles, tile groups, largest coding units, or the like).

According to an embodiment, the receiver 160 of the image decodingapparatus 150 may obtain, from a bitstream, at least one of referencecoding unit shape information and reference coding unit size informationfor each of the various data units. An operation of determining one ormore coding units included in the square reference coding unit 1400 hasbeen described above in relation to the operation of splitting thecurrent coding unit 300 of FIG. 10 , and an operation of determining oneor more coding units included in the non-square reference coding unit1402 has been described above in relation to the operation of splittingthe current coding unit 1100 or 1150 of FIG. 11 , and thus, detaileddescriptions thereof will not be provided here.

According to an embodiment, the image decoding apparatus 150 may use aPID for identifying the size and shape of reference coding units, todetermine the size and shape of reference coding units according to somedata units previously determined based on a preset condition. That is,the receiver 160 may obtain, from the bitstream, only the PID foridentifying the size and shape of reference coding units for each slice,slice segment, tile, tile group, or largest coding unit which is a dataunit satisfying a preset condition (e.g., a data unit having a sizeequal to or smaller than a slice) among the various data units (e.g.,sequences, pictures, slices, slice segments, tiles, tile groups, largestcoding units, or the like). The image decoding apparatus 150 maydetermine the size and shape of reference data units for each data unit,which satisfies the preset condition, by using the PID. When thereference coding unit shape information and the reference coding unitsize information are obtained and used from the bitstream according toeach data unit having a relatively small size, efficiency of using thebitstream may not be high, and therefore, only the PID may be obtainedand used instead of directly obtaining the reference coding unit shapeinformation and the reference coding unit size information. In thiscase, at least one of the size and shape of reference coding unitscorresponding to the PID for identifying the size and shape of referencecoding units may be predetermined. That is, the image decoding apparatus150 may determine at least one of the size and shape of reference codingunits included in a data unit serving as a unit for obtaining the PID,by selecting the previously determined at least one of the size andshape of reference coding units based on the PID.

According to an embodiment, the image decoding apparatus 150 may use oneor more reference coding units included in one largest coding unit. Thatis, a largest coding unit split from an image may include one or morereference coding units, and coding units may be determined byrecursively splitting each reference coding unit. According to anembodiment, at least one of a width and height of the largest codingunit may be integer times at least one of the width and height of thereference coding units. According to an embodiment, the size ofreference coding units may be obtained by splitting the largest codingunit n times based on a quadtree structure. That is, the image decodingapparatus 150 may determine the reference coding units by splitting thelargest coding unit n times based on a quadtree structure, and may splitthe reference coding unit based on at least one of the block shapeinformation and the split shape information according to variousembodiments.

FIG. 15 illustrates a processing block serving as a unit for determininga determination order of reference coding units included in a picture1500 according to an embodiment.

According to an embodiment, the image decoding apparatus 150 maydetermine one or more processing blocks split from a picture. Theprocessing block is a data unit including one or more reference codingunits split from an image, and the one or more reference coding unitsincluded in the processing block may be determined according to aspecific order. That is, a determination order of one or more referencecoding units determined in each processing block may correspond to oneof various types of orders for determining reference coding units, andmay vary depending on the processing block. The determination order ofreference coding units, which is determined for each processing block,may be one of various orders, e.g., raster scan, Z-scan, N-scan,up-right diagonal scan, horizontal scan, and vertical scan, but is notlimited to the above-mentioned scan orders.

According to an embodiment, the image decoding apparatus 150 may obtainprocessing block size information and may determine the size of one ormore processing blocks included in the image. The image decodingapparatus 150 may obtain the processing block size information from abitstream and may determine the size of one or more processing blocksincluded in the image. The size of processing blocks may be a presetsize of data units, which is indicated by the processing block sizeinformation.

According to an embodiment, the receiver 160 of the image decodingapparatus 150 may obtain the processing block size information from thebitstream for each specific data unit. For example, the processing blocksize information may be obtained from the bitstream in a data unit suchas an image, sequence, picture, slice, slice segment, tile, or tilegroup. That is, the receiver 160 may obtain the processing block sizeinformation from the bitstream for each of the various data units, theimage decoding apparatus 150 may determine the size of one or moreprocessing blocks, which are split from the picture by using theobtained processing block size information, and the size of theprocessing blocks may be integer times that of the reference codingunits.

According to an embodiment, the image decoding apparatus 150 maydetermine the size of processing blocks 1502 and 1512 included in thepicture 1500. For example, the image decoding apparatus 150 maydetermine the size of processing blocks based on the processing blocksize information obtained from the bitstream. Referring to FIG. 15 ,according to an embodiment, the image decoding apparatus 150 maydetermine the width of the processing blocks 1502 and 1512 to be fourtimes the width of the reference coding units, and may determine theheight of the processing blocks 1502 and 1512 to be four times theheight of the reference coding units. The image decoding apparatus 150may determine a determination order of one or more reference codingunits in one or more processing blocks.

According to an embodiment, the image decoding apparatus 150 maydetermine the processing blocks 1502 and 1512, which are included in thepicture 1500, based on the size of processing blocks, and may determinea determination order of one or more reference coding units included inthe processing blocks 1502 and 1512. According to an embodiment,determination of reference coding units may include determination of thesize of the reference coding units.

According to an embodiment, the image decoding apparatus 150 may obtain,from the bitstream, determination order information of one or morereference coding units included in one or more processing blocks, andmay determine a determination order of one or more reference codingunits based on the obtained determination order information. Thedetermination order information may be defined as an order or directionfor determining the reference coding units in the processing block. Thatis, the determination order of reference coding units may beindependently determined for each processing block.

According to an embodiment, the image decoding apparatus 150 may obtain,from the bitstream, the determination order information of referencecoding units for each specific data unit. For example, the receiver 160may obtain the determination order information of reference coding unitsfrom the bitstream according to each data unit such as an image,sequence, picture, slice, slice segment, tile, tile group, or processingblock. Because the determination order information of reference codingunits indicates an order for determining reference coding units in aprocessing block, the determination order information may be obtainedfor each specific data unit including an integer number of processingblocks.

According to an embodiment, the image decoding apparatus 150 maydetermine one or more reference coding units based on the determineddetermination order.

According to an embodiment, the receiver 160 may obtain thedetermination order information of reference coding units from thebitstream as information related to the processing blocks 1502 and 1512,and the image decoding apparatus 150 may determine a determination orderof one or more reference coding units included in the processing blocks1502 and 1512 and may determine one or more reference coding units,which are included in the picture 1500, based on the determination orderof the reference coding units. Referring to FIG. 15 , the image decodingapparatus 150 may determine determination orders 1504 and 1514 of one ormore reference coding units in the processing blocks 1502 and 1512,respectively. For example, when the determination order information ofreference coding units is obtained for each processing block, differenttypes of the determination order information of reference coding unitsmay be obtained for the processing blocks 1502 and 1512. When thedetermination order 1504 of reference coding units in the processingblock 1502 is a raster scan order, reference coding units included inthe processing block 1502 may be determined according to the raster scanorder. On the contrary, when the determination order 1514 of referencecoding units in the other processing block 1512 is a backward rasterscan order, reference coding units included in the processing block 1512may be determined according to the backward raster scan order.

With reference to FIGS. 1A to 15 , a method of splitting an image intolargest coding units and splitting the largest coding units into codingunits having a hierarchical tree structure is described. With referenceto FIGS. 16 to 28 , various embodiments of a block intra predictingmethod are now provided.

FIG. 16 is a block diagram of a video decoding apparatus 1600 forperforming video decoding according to the block intra predictingmethod.

Referring to FIG. 16 , the video decoding apparatus 1600 according to anembodiment may include a processor 1610 and a memory 1620.

The processor 1610 according to an embodiment may generally control thevideo decoding apparatus 1600. The processor 1610 according to anembodiment may execute one or more programs stored in the memory 1620.

The memory 1620 according to an embodiment may store various data,program, or application for driving and controlling the video decodingapparatus 1600. The program stored in the memory 1620 may include one ormore instructions. The program (the one or more instructions) or theapplication stored in the memory 1620 may be executed by the processor1610.

In order to promote understanding of intra prediction to be performed bythe processor 1610, FIGS. 17 and 18 illustrate intra prediction modesindicating intra prediction methods. FIG. 17 illustrates 35 intraprediction modes according to an embodiment, and FIG. 18 illustrates 67intra prediction modes according to another embodiment.

Intra prediction modes according to various embodiments may include anon-angular intra prediction mode including a planar mode and a directcurrent (DC) mode that do not have directivity, and an angular intraprediction mode having directivity. A non-angular mode may include aplane mode and a bi-linear mode as well as the planar mode and the DCmode.

Referring to FIGS. 17 and 18 , the angular intra prediction modeincludes intra prediction modes indicating particular directions withina range between −135 degrees and −180 degrees and a range between 45degrees and 180 degrees with respect to directions of 45 degrees and−135 degrees.

In the descriptions below, angles of prediction directions in a rangebetween 0 degree and 180 degrees which indicate directions on QuadrantsI and II may be represented as +, and angles of prediction directions ina range between −180 degrees and 0 degree which indicate directions onQuadrants III and IV may be represented as −. A predetermined angle of−a (where “a” is a positive real number) indicating a direction onQuadrants III and IV corresponds to an angle of (360−a) degrees. Forexample, the direction of −135 degrees corresponds to the direction of225 degrees, and the direction of −180 degrees corresponds to thedirection of 180 degrees.

Prediction directions represented as arrows shown in FIGS. 17 and 18indicate directions of adjacent pixels to be used in intra prediction,with respect to a current pixel of a current block which is to be intrapredicted. Numbers marked in FIGS. 17 and 18 are examples of intraprediction mode indices (predModeIntra) according to intra predictiondirections. Hereinafter, the intra prediction mode indices may also bereferred to as predModeIntra. PredModeIntra of the planar mode andpredModeIntra of the DC mode, which are the non-angular intra predictionmodes, may be set as 0 and 1, respectively.

Referring to FIG. 17 , angular intra prediction modes according to anembodiment may include 33 intra prediction modes obtained by dividing agap between 45 degrees and −135 degrees by 33. The 33 angular intraprediction modes may sequentially have predModeIntra values of 2 through34 in a clockwise direction from the direction of −135 degrees. Forexample, in FIG. 17 , an intra prediction mode whose predModeIntra is 2may indicate an intra prediction mode indicating a diagonal direction inthe direction of −135 degrees, an intra prediction mode whosepredModeIntra is 10 may indicate an intra prediction mode indicating ahorizontal direction in the direction of −180 (180) degrees, an intraprediction mode whose predModeIntra is 26 may indicate an intraprediction mode indicating a vertical direction in the direction of 90degrees, and an intra prediction mode whose predModeIntra is 34 mayindicate an intra prediction mode indicating a diagonal direction in thedirection of 45 degrees.

Referring to FIG. 18 , angular intra prediction modes according toanother embodiment may include 65 intra prediction modes obtained bydividing a gap between −135 degrees and −180 degrees and a gap between45 degrees and 180 degrees with respect to directions of 45 degrees and−135 degrees by 65. The 65 angular intra prediction modes maysequentially have predModeIntra values of 2 through 66 in a clockwisedirection from the direction of −135 degrees. For example, in FIG. 18 ,an intra prediction mode whose predModeIntra is 2 may indicate an intraprediction mode indicating a diagonal direction in the direction of −135degrees, an intra prediction mode whose predModeIntra is 18 may indicatean intra prediction mode indicating a horizontal direction in thedirection of −180 (180) degrees, an intra prediction mode whosepredModeIntra is 50 may indicate an intra prediction mode indicating avertical direction in the direction of 90 degrees, and an intraprediction mode whose predModeIntra is 66 may indicate an intraprediction mode indicating a diagonal direction in the direction of 45degrees.

However, predModeIntra values of intra prediction modes are not limitedto those shown in FIGS. 17 and 18 and may be changed. For example, thenumber of angular intra prediction modes in a clockwise direction fromthe direction of 45 degrees may not be limited to 33 or 65 and may bechanged, predModeIntra values of the angular intra prediction modes maybe sequentially set in a counterclockwise direction from the directionof 45 degrees, and the set predModeIntra values may also be changed. Theangular intra prediction modes are not limited thereto and may include apredetermined number of intra prediction modes indicating particulardirections in a range between random A degrees (where “A” is a realnumber) and B degrees (where “B” is a real number).

The intra prediction modes described with reference to FIGS. 17 and 18are set, in consideration of a square shape. However, as described abovewith reference to FIGS. 3 to 5 , according to an embodiment, data unitsincluding a coding unit, a prediction unit, and transform units may eachhave a square shape or a non-square shape. Also, according to a 4:2:2format, even when a luma block has a square shape, a block of a chromacomponent corresponding thereto may have a non-square shape. Also,according to an embodiment, a data unit to be used in intra predictionmay not have a fixed size as that of a macroblock according to therelated art but may have various sizes.

According to an embodiment, in a case where an intra prediction mode ofthe luma block is applied to the chroma block, when shapes of the lumablock and the chroma block are different, a prediction direction of theintra prediction mode to be applied to the luma block may be differentfrom a prediction direction of the intra prediction mode to be appliedto the chroma block. According to an embodiment, even when the shapes ofthe luma block and the chroma block are different, the intra predictionmode of the luma block may be changelessly applied to the chroma block.According to another embodiment, when the shapes of the luma block andthe chroma block are different, the prediction direction the intraprediction mode which is applied to the luma block may be applied to thechroma block. In the embodiment, an index value of the intra predictionmode applied to the luma block may be different from an index value ofthe intra prediction mode applied to the chroma block.

Therefore, according to a 4:2:2 format, when the luma block has a squareshape and the chroma block has a non-square shape, even when theprediction direction of the luma block and the prediction direction ofthe chroma block are determined to be the same, index values of theintra prediction modes of the luma block and the chroma block may bedifferent.

According to an embodiment, according to the luma block and the chromablock, the number of intra prediction mode candidates may be adaptivelydetermined. For example, when the intra prediction mode of FIG. 18 isused for the luma block, the intra prediction mode of FIG. 17 may beused for the chroma block. Alternatively, in contrast, when the intraprediction mode of FIG. 17 is used for the luma block, the intraprediction mode of FIG. 18 may be used for the chroma block.

According to an embodiment, an intra prediction mode candidate to beused in intra prediction of a current block may be adaptively changed,in consideration of at least one of a size and a shape of the currentblock.

In detail, according to an embodiment, directions and the number ofintra prediction modes to be applied to the current block may beadaptively set, in proportion to the size of the current block to beintra predicted. The number of intra prediction modes that areapplicable to the current block may be increased, in proportion to thesize of the current block. Also, according to an embodiment, blocks maybe grouped according to their sizes, and the number of intra predictionmodes to be applied to a group of larger blocks may be increased. Forexample, when the size of the current block is equal to or smaller than8×8, a minimum a number (where a is a positive integer) of intraprediction modes may be applied, a b number (where b is a positiveinteger, b>a) of intra prediction modes may be applied to 16×16 and32×32 blocks, and a c number (where c is a positive integer, c>b) ofintra prediction modes may be applied to blocks equal to or greater than64×64.

On the other hand, according to another embodiment, directions and thenumber of intra prediction modes to be applied to the current block maybe adaptively set, in inverse proportion to the size of the currentblock to be intra predicted. That is, the number of intra predictionmodes that are applicable to the current block may be decreased, inproportion to the size of the current block. Also, according to anembodiment, blocks may be grouped according to their sizes, and thenumber of intra prediction modes to be applied to a group of largerblocks may be decreased. For example, when the size of the current blockis equal to or smaller than 8×8, a maximum c number of intra predictionmodes may be applied, a b number of intra prediction modes may beapplied to 16×16 and 32×32 blocks, and an a number of intra predictionmodes may be applied to blocks equal to or greater than 64×64.

According to another embodiment, the number of intra prediction modes tobe applied to blocks of all sizes may be equal, regardless of sizes ofthe blocks.

According to an embodiment, the number of intra prediction modes may bedetermined based on an intra prediction mode number flag obtained for apicture unit, a coding tree unit (CTU) unit, or a coding unit (CU).

Also, according to another embodiment, directions and the number ofintra prediction modes to be applied to the current block may beadaptively set, based on a shape of the current block or a height andwidth of the current block. In detail, when the current block has asquare shape, as described above with reference to FIGS. 17 and 18 ,predetermined intra prediction modes may be used, and when the currentblock has a non-square shape, intra prediction modes may be set tofinely indicate one of a height direction and a width direction.Hereinafter, with reference to FIGS. 19A and 19B, an embodiment of intraprediction modes to be applied to a non-square shape will now bedescribed.

Referring to FIG. 19A, intra prediction directions to be applied to anon-square shape block 1902 may include a first intra predictiondirection 1910 that is a direction indicating a top-left vertex from acenter of the block 1900, a second intra prediction direction 1920 thatis a direction indicating a top-right vertex from the center of theblock 1900, and a third intra prediction direction 1930 that is adirection indicating a bottom-left vertex from the center of the block1900. Also, the intra prediction directions to be applied to thenon-square shape block 1902 may include vertical-part intra predictiondirections between the first intra prediction direction 1910 and thesecond intra prediction direction 1920, and horizontal-part intraprediction directions between the first intra prediction direction 1910and the third intra prediction direction 1930.

According to an embodiment, some of the intra prediction directions thatare applicable to the square shape block 1900 may also be applied to anon-square shape block 1902. For example, a fourth intra predictiondirection 1922, a third intra prediction direction 1930, and intraprediction directions between the fourth intra prediction direction 1922and the third intra prediction direction 1930 which are applicable tothe square shape block 1900 may also be applied to the non-square shapeblock 1902.

However, because a fifth intra prediction direction 1932 and intraprediction directions 1940 between the third intra prediction direction1930 and the fifth intra prediction direction 1932 indicate a lower partof the non-square shape block 1902, they are not used in intraprediction of the non-square shape block 1902. On the other hand, thesecond intra prediction direction 1920 and intra prediction directions1950 between the second intra prediction direction 1920 and the fourthintra prediction direction 1922 which are not applied to the squareshape block 1900 may be applied to the non-square shape block 1902.

According to an embodiment, the number of horizontal-part intraprediction directions and the number of vertical-part intra predictiondirections may be set based on a width and a height of a block. Withrespect to a non-square shape block, the number of intra predictiondirections indicating a long side may be set to be greater than thenumber of intra prediction directions indicating a shorter side. Forexample, because the block 1902 has a width that is greater than itsheight, the number of vertical-part intra prediction directionsindicating a top side is set to be greater than the number ofhorizontal-part intra prediction directions indicating a left side.

In contrast, with respect to a non-square shape block, the number ofintra prediction directions indicating a long side may be set to besmaller than the number of intra prediction directions indicating ashorter side. For example, in a manner opposite to the descriptionsabove, in FIG. 19 , the number of horizontal-part intra predictiondirections may be set to be greater than the number of vertical-partintra prediction directions.

According to various embodiments, a horizontal intra predictiondirection in the direction of 180 degrees and a vertical intraprediction direction in the direction of 90 degrees are generallydetermined to be intra prediction directions, such that intra predictiondirections may be set to densely indicate a horizontal direction in thedirection of 180 degrees or a vertical direction in the direction of 90degrees.

According to another embodiment, with respect to a non-square shapeblock, an angle between intra prediction directions indicating a sidedistant from a center of a block may be set to be smaller than an anglebetween intra prediction directions indicating a side close to thecenter of the block. Referring to FIG. 19B, a distance between a centerof the block 1902 and a left side may be greater than a distance betweenthe center of the block 1902 and an upper side. Accordingly, anglesbetween horizontal-part intra prediction directions of the block 1902may be set to be smaller than angles between vertical-part intraprediction directions of the block 1902.

For example, two additional horizontal-part intra prediction directions1960 may be added to the horizontal-part intra prediction directions.The two additional horizontal-part intra prediction directions 1960 maybe positioned among a first horizontal intra prediction direction 1970,a second horizontal intra prediction direction 1972, and a thirdhorizontal intra prediction direction 1974. Also, although notillustrated in FIG. 19B, instead of the two additional horizontal-partintra prediction directions 1960 being added to the block 1902, twovertical intra prediction directions from among illustrated verticalintra prediction directions may be excluded from intra predictiondirections of the block 1902.

Hereinafter, a method of determining intra prediction directioncandidates of a current block, based on a shape of the current block,and determining an intra prediction direction of the current block fromamong the intra prediction direction candidates will now be described.

The processor 1610 obtains, from a bitstream, intra prediction modeinformation of a current block. Then, the processor 1610 determines anintra prediction mode of the current block, based on the intraprediction mode information of the current block.

According to an embodiment, the processor 1610 may configure a MostProbable Mode (MPM) list by using an intra prediction mode of anadjacent block of the current block. Then, the processor 1610 maydetermine the intra prediction mode of the current block, based on thedetermined MPM list.

Intra prediction modes included in the MPM list are determined based ona prediction mode of a left adjacent block of the current block and aprediction mode of an upper adjacent block of the current block. Whenthe current block has a non-square shape, priorities of MPMs included inthe MPM list may be determined based on a height and a width of thecurrent block.

When the intra prediction mode of the current block is an angular intraprediction mode, the processor 1610 determines an intra predictiondirection of the current block which corresponds to the intra predictionmode of the current block, based on the height and the width of thecurrent block.

When the current block has a square shape where the width and the heightare equal, the processor 1610 determines a first intra predictiondirection candidate, which is indicated by the intra prediction mode, tobe the intra prediction direction of the current block, from among aplurality of first intra prediction direction candidates set based onthe square shape.

When the current block has a non-square shape where the width and theheight are not equal, the processor 1610 determines a second intraprediction direction candidate, which is indicated by the intraprediction mode, to be the intra prediction direction of the currentblock, from among a plurality of second intra prediction directioncandidates set based on the non-square shape.

According to an embodiment, when the current block has a non-squareshape whose width is greater than its height, the second intraprediction direction candidates may include, instead of a preset numberof intra prediction directions selected in a lower-left direction fromamong the first intra prediction direction candidates, intra predictiondirections set in an upper-right direction other than intra predictiondirections included in the first intra prediction direction candidates.Also, when the current block has a non-square shape whose height isgreater than its width, the second intra prediction direction candidatesmay include, instead of a preset number of intra prediction directionsselected in an upper-right direction from among the first intraprediction direction candidates, intra prediction directions set in alower-left direction other than intra prediction directions included inthe first intra prediction direction candidates.

According to an embodiment of the disclosure, the intra predictiondirection included in the second intra prediction direction candidates,other than the intra prediction direction included in the first intraprediction direction candidates, may indicate a direction opposite to aparticular direction indicated by a substituted intra predictiondirection included in the first intra prediction direction candidates.

According to an embodiment of the disclosure, when the current block hasthe non-square shape whose width is greater than its height, the secondintra prediction direction candidates may further include an intraprediction direction indicating a direction close to a horizontaldirection, in addition to the first intra prediction directioncandidates. Also, when the current block has the non-square shape whoseheight is greater than its width, the second intra prediction directioncandidates may further include an intra prediction direction indicatinga direction close to a vertical direction, in addition to the firstintra prediction direction candidates.

According to an embodiment, the second intra prediction directioncandidates may be determined, according to a ratio of the height and thewidth of the current block having a non-square shape. In FIGS. 19A and19B, a ratio of the height and the width of the block 1902 is 1:2, andintra prediction direction candidates of the block 1902 are determinedby deleting unnecessary intra prediction directions from the intraprediction direction candidates of the block 1902 and adding a necessaryintra prediction direction thereto. When a ratio of a height and a widthof a block includes 1:4, 1:8, 1:16, 2:1, 4:1, 8:1, and 16:1, intraprediction direction candidates may be determined according to themethod described with reference to FIGS. 19A and 19B. Furthermore, whena ratio of the height and the width of the block includes 2{circumflexover ( )}n:1 and 1:2{circumflex over ( )}n (where n is an integer), anintra prediction direction look-up table indicating intra predictiondirection candidates according to the method described with reference toFIGS. 19A and 19B may be preset.

However, when an intra prediction direction look-up table is set evenwhen a ratio of the height and the width of the block includes2{circumflex over ( )}n:m and m:2{circumflex over ( )}n (where n is anatural number and m is an odd number other than 1), coding complexitymay increase. Therefore, for the above case, an intra predictiondirection look-up table that is preset for similar ratios of a heightand a width may be used. For example, when a ratio of a height and awidth of a block is 3:4, 4:3, 7:8, or 8:7, an intra prediction directionlook-up table used when a ratio of the height and the width of the blockis 1:1 may be used for the block. As another example, when a ratio of aheight and a width of a block is 3:8 or 5:8, an intra predictiondirection look-up table used when a ratio of the height and the width ofthe block is 1:2 may be used for the block. Also, when a ratio of aheight and a width of a block is 8:3 or 8:5, an intra predictiondirection look-up table used when a ratio of the height and the width ofthe block is 2:1 may be used for the block.

According to another embodiment, when a difference between sizes of aheight and a width of a block is large, a particular intra predictiondirection look-up table may be used. For example, when a differencebetween sizes of the height and the width of the current block is atleast 8 times, an intra prediction direction look-up table used when aratio of a height and a width of a block is 4:1 or 1:4 may be used forthe current block. As another example, when a difference between sizesof the height and the width of the current block is at least 16 times,an intra prediction direction look-up table used when a ratio of aheight and a width of a block is 8:1 or 1:8 may be used for the currentblock.

The processor 1610 intra predicts the current block according to theintra prediction direction of the current block, thereby obtaining aprediction block of the current block. Then, the processor 1610reconstructs the current block according to the prediction block.

When the processor 1610 intra predicts the current block in a mannerdescribed above, technical characteristics of the intra predictiondirections of FIGS. 17 to 19B may be applied.

Hereinafter, an MPM list used when the processor 1610 determines anintra prediction mode will now be described in detail.

As described above, a total of 35 or 67 intra prediction modes includingtwo non-angular modes of a DC mode and a planar mode, and 33 or 65angular prediction modes may be used. As the number of intra predictionmodes is increased, an amount of information to indicate an intraprediction mode of a current block may be increased. In general, when animage is processed by being split into blocks, a current block and itsadjacent block have a high probability of a similar imagecharacteristic. Therefore, there is a high probability that an intraprediction mode of an intra-predicted current block is equal to orsimilar to an intra prediction mode of an adjacent block. According tovarious embodiments, based on the fact that adjacent blocks have a highprobability of a similar characteristic therebetween, an intraprediction mode candidate list including candidate intra predictionmodes may be obtained by using prediction mode information of anadjacent block of a current block, the candidate intra prediction modeshaving a high probability to be an intra prediction mode of the currentblock. Hereinafter, the intra prediction mode candidate list obtained byusing the prediction mode information of the adjacent block may bereferred to as an MPM list.

When the intra prediction mode of the current block is one in the MPMlist, an amount of bits required to signal the intra prediction mode ofthe current block may be decreased. For example, when the number of allintra prediction modes is 67, at least 7 bits are required to signal oneof 67 intra prediction modes. However, when 5 or 6 MPM lists are used,there is a high probability that the intra prediction mode of thecurrent block is determined to be one in the MPM lists, and even whenthe intra prediction mode of the current block is not included in theMPM lists, the rest of intra prediction modes may be signaled by usingonly 6 bits except for 5 or 6 MPM lists. Therefore, when an MPM list isused, an amount of all bits required to signal an intra prediction modeof an intra-predicted block from among blocks constituting a picture maybe decreased.

An MPM list may be obtained by using a prediction mode A of a leftadjacent block and a prediction mode B of an upper adjacent block whichare processed before a current block. The left adjacent block may be ablock including a pixel located in the left of a bottom-left pixellocated at a bottom-left vertex of the current block.

Hereinafter, in an embodiment of an MPM list determining method, it isassumed that 67 intra prediction modes including two non-angular intraprediction modes (planar and DC) and 65 angular intra prediction modesas shown in FIG. 18 are used, and predmodeIntra of a planar mode is 0,predModeIntra of a DC mode is 1, and predModeIntra of 2 to 66 are set ina clockwise direction to the angular intra prediction modes. Asdescribed above, predModeIntra of an intra prediction mode indicating ahorizontal direction (H) may be set to 18, and predModeIntra of an intraprediction mode indicating a vertical direction (V) may be set to 50.Also, it is assumed that 6 intra prediction mode candidates are includedin the MPM list.

According to an embodiment, first, availability of the left adjacentblock and the upper adjacent block is checked. When it is determinedthat an adjacent block or an inter-predicted adjacent block included ina tile or slice different from the current block is not available, anintra prediction mode of the adjacent block determined to be notavailable is set to be a planar mode whose predModeIntra is 0, as adefault. When an adjacent block is included in a same tile or slice asthe current block and is intra predicted, an intra prediction mode ofthe adjacent block is changelessly set to be an intra prediction mode ofthe adjacent block. When intra prediction modes of the left adjacentblock and the upper adjacent block are all non-angular intra predictionmodes, i.e., a planar mode or a DC mode, the MPM list may include{planar, DC, H, V, V+4, V−4} or may include {planar, DC, H, V, H+4,H−4}. H denotes a horizontal intra prediction mode, and V denotes avertical intra prediction mode. For example, in a case where an intraprediction mode of the left adjacent block is a DC intra prediction mode(predModeIntra=1), and the upper adjacent block is a planar mode(predModeInta=0), the MPM list may include {0, 1, 50, 18, 46, 54} or {0,1, 50, 18, 14, 22}.

In a case where one of the intra prediction modes of the left adjacentblock and the upper adjacent block is a non-angular intra predictionmode and the other one is an angular intra prediction mode, a greaterintra prediction mode index from among intra prediction mode indices Aand B of the left adjacent block and the upper adjacent block is set asmaxAB. That is, when it is assumed that predModeIntra of the intraprediction mode of the left adjacent block is A and predModeIntra of theintra prediction mode of the upper adjacent block is B, maxAB=Max(A, B).In this case, the MPM list may include {planar, maxAB, DC, maxAB−1,maxAB+1, maxAB−2}. For example, in a case where the intra predictionmode of the left adjacent block has an intra prediction mode index of 60(predModeIntra=60), and the upper adjacent block is a DC mode(predModeInta=1), maxAB=Max(60, 1)=60, and the MPM list includes {0, 60,1, 59, 61, 58}.

When the intra prediction modes of the left adjacent block and the upperadjacent block are all angular intra prediction modes and are not sameintra prediction modes, the MPM list may be set based on an angulardifference between the intra prediction modes of the left adjacent blockand the upper adjacent block. When a value of a difference betweenpredModeIntra (A) of the left adjacent block and predModeIntra (B) ofthe upper adjacent block is within a predetermined range, e.g., between2 and 62, the MPM list may include {planar, A, B, DC, maxAB−1, maxAB+1}.For example, in a case where the intra prediction mode of the leftadjacent block has predModeIntra of 60, and the upper adjacent block haspredModeIntra of 50, a value of a difference between predModeIntra (A)of the left adjacent block and predModeIntra (B) of the upper adjacentblock is included in a range of 2 to 60, and thus, the MPM list includes{0, 60, 50, 1, 59, 61}.

In a case where a value of a difference between predModeIntra (A) of theleft adjacent block and predModeIntra (B) of the upper adjacent block issmaller than 2 or greater than 62, the MPM list may include {planar, A,B, DC, maxAB−2, maxAB+2}. For example, in a case where the intraprediction mode of the left adjacent block has predModeIntra of 3, andthe upper adjacent block has predModeIntra of 4, the MPM list includes{0, 3, 4, 1, 2, 6}.

When the intra prediction modes of the left adjacent block and the upperadjacent block are all angular intra prediction modes and same intraprediction modes, the MPM list may include {planar, A, A−1, A+1, DCmode, A−2} or {planar, B, B−1, B+1, DC mode, B−2}. For example, when allthe intra prediction modes of the left adjacent block and the upperadjacent block have predModeIntra of 60, the MPM list may include {0,60, 59, 61, 1, 58}.

Various tools including multi-reference line extension in which, as areference sample of a current block, not only adjacent samples adjacentto the current block but also adjacent samples distant from the currentblock by a predetermined distance are selectively used, intrasub-partitioning in which a block to be intra predicted is split intosub-partitions, a hybrid prediction method where inter prediction andintra prediction are combined, or the like may be used in a process ofencoding/decoding the current block. In order to decrease complexity, anMPM list may be selectively set according to a tool used in an encodingprocess of the current block. For example, when the multi-reference lineextension is used in the encoding process of the current block, a planarmode and a DC mode may be excluded from the MPM list, and when the intrasub-partitioning is used, the DC mode may be excluded from the MPM list.For a block for which neither the multi-reference line extension nor theintra sub-partitioning is used, the planar mode and the DC mode areincluded in the MPM list, such that complexity of when the MPM list isset may be decreased. However, when a MPM list generation scheme ischanged according to whether or not a particular tool is used, apossibility that an intra prediction mode biased toward the particulartool is to be selected may be increased.

According to an embodiment, a MPM list may be selectively used based onencoding information of an intra-predicted current block. In otherwords, according to an embodiment, it is not the case that a MPM list isused for all intra-predicted current block or an intra prediction modeof a current block is determined from candidate intra prediction modesincluded in a MPM list. Only when encoding information of a currentblock satisfies a particular condition, a MPM list may be used or anintra prediction mode of the current block may be determined fromcandidate intra prediction modes included in a MPM list.

According to an embodiment, when encoding information related to anintra-predicted block satisfies a predetermined condition, a MPM listmay be generated without separate flag information. When the encodinginformation related to the intra-predicted block does not satisfy thepredetermined condition, separate flag information related to whether togenerate the MPM list for the intra-predicted block may be signaled.Also, according to an embodiment, before a MPM list is generated,whether an intra prediction mode of a current block is a particularintra prediction mode (e.g., a non-angular mode) may be firstdetermined, and then, when the intra prediction mode of the currentblock is not the particular intra prediction mode, the MPM list may begenerated, and an intra prediction mode of the current block may bedetermined by using a MPM index (MPM idx) indicating one of candidateintra prediction modes included in the MPM list. Also, whether to applyan encoding tool to be used for a current block may be determined fromintra prediction mode candidates included in a MPM list. According toanother embodiment, a MPM list of a current block may be equallygenerated, regardless of encoding information related to the currentblock. The encoding information may include information about whether toapply a predetermined encoding tool applied to the current block,reference sample information to be used in intra prediction with respectto the current block, and sub-partition information indicating whetherthe current block is to be split into sub-partitions.

With reference to FIG. 20 , a method of determining an MPM of anon-square block according to an embodiment will now be described.

According to an embodiment, in order to determine a prediction mode of aleft adjacent block, samples 2002, 2004, 2006, and 2008 positioned inthe left of a current block 2000 may be scanned from top to bottom. Whenit is possible to extract an intra prediction mode from a block locatedat the sample 2002, the intra prediction mode extracted from the blocklocated at the sample 2002 When it is not possible to extract the intraprediction mode from the block located at the sample 2002, whether it ispossible to extract an intra prediction mode from a block located at thesample 2204 may be determined. Equally, when it is not possible toextract the intra prediction mode from the block located at the sample2004, whether it is possible to extract an intra prediction mode isdetermined sequentially with respect to a block located at the sample2206 and a block located at the sample 2208.

According to an embodiment, the samples 2002, 2004, 2006, and 2008 maybe scanned from bottom to top. Alternatively, unlike FIG. 20 , thenumber of samples to be scanned may be determined to be equal to orsmaller than 3 or equal to or greater than 5.

According to an embodiment, in order to determine a prediction mode ofan upper adjacent block, samples 2010, 2012, and 2014 located above thecurrent block 2000 may be sequentially scanned from left to right. Untila block from which an intra prediction mode is not detectable is found,the samples 2010, 2012, and 2014 located above may be scanned. Accordingto an embodiment, the samples 2010, 2012, and 2014 located above may besequentially scanned from right to left. Alternatively, unlike FIG. 20 ,the number of samples to be scanned may be determined to be equal to orsmaller than 2 or equal to or greater than 4.

In FIG. 20 , because a height of the block 2000 is greater than itswidth, the number of the samples 2002, 2004, 2006, and 2008 located inthe left which are necessary to determine an MPM is greater than thenumber of the samples 2010, 2012, and 2014 located above. On thecontrary, unlike FIG. 20 , when a width of a block is greater than itsheight, the number of samples located above which are necessary todetermine an MPM may be determined to be greater than the number ofsamples located in the left. Alternatively, according to an embodiment,regardless of a height and a width of a block, the number of sampleslocated in the left which are necessary to determine an MPM may bedetermined to be equal to the number of samples located above.

According to an embodiment, with respect to a non-square block, two ormore intra prediction modes may be extracted from a longer side fromamong a height and a width. For example, because a height of the block2000 is greater than its width, two or more intra prediction modes maybe extracted from the samples 2002, 2004, 2006, and 2008 located in theleft. Then, based on the two or more intra prediction modes extractedfrom the samples 2002, 2004, 2006, and 2008 located in the left and oneintra prediction mode extracted from the samples 2010, 2012, and 2014located above, an MPM list may be determined. Also, according to anembodiment, two or more intra prediction modes may be extracted from thesamples 2010, 2012, and 2014 located above. Then, an MPM list may bedetermined based on the two or more intra prediction modes extractedfrom the samples 2010, 2012, and 2014 located above.

According to an embodiment, with respect to a non-square block, an intraprediction mode extracted from a longer side from among a height and awidth has priority over an intra prediction mode extracted from ashorter side in an MPM list. For example, because a height of the block2000 is greater than its width, an intra prediction mode extracted fromthe samples 2002, 2004, 2006, and 2008 located in the left may havepriority over an intra prediction mode extracted from the samples 2010,2012, and 2014 located above in an MPM list.

According to an embodiment, an MPM index used in intra prediction of anadjacent block may be obtained from the adjacent block neighboring acurrent block. Then, based on the MPM index of the adjacent block,priorities of MPMs in an MPM list of the current block may be changed.For example, when a plurality of MPM indices extracted from a pluralityof adjacent blocks neighboring the block 2000 indicate an MPM No. 2, theMPM list may be changed such that the MPM No. 2 has higher priority inthe MPM list of the block 2000.

Hereinafter, a technical characteristic of adaptively selecting aninterpolation filter for a current block, the interpolation filter beingused in intra prediction, will now be described.

The processor 1610 obtains intra prediction mode information indicatingan intra prediction mode of a current block from a bitstream. The intraprediction mode information may be obtained with respect to the currentblock. Alternatively, the intra prediction mode information may beobtained with respect to an upper block of the current block. Forexample, the current block may be a transformation block, and the upperblock may be a coding block including the current block. The processor1610 may determine an intra prediction mode of the current block byparsing the intra prediction mode information.

Based on the intra prediction mode of the current block, the processor1610 may determine reference samples to be used in intra prediction ofthe current block, from adjacent samples of the current block.

The processor 1610 may determine whether to filter the referencesamples. Then, the processor 1610 may filter the reference samplesaccording to a reference sample interpolation filter. Because thereference samples are filtered, continuity between adjacent referencesamples may increase.

According to an embodiment, when a size of the current block is greaterthan a preset block size, the processor 1610 may filter the referencesamples. When the size of the current block is small, a codingefficiency increase due to reference sample filtering may not besignificant. Therefore, when the size of the current block is smallerthan the preset block size, the processor 1610 does not filter thereference samples, thereby increasing coding efficiency and decreasingcoding complexity.

According to an embodiment, the processor 1610 may determine whether tofilter the reference samples, according to an interpolation filter setto be used in prediction of a current sample. For example, the referencesamples are filtered according to a smoothing filter. Therefore, as thereference samples are filtered according to the smoothing filter,continuity between the reference samples increases. Therefore, in a casewhere the interpolation filter set includes a sharp filter that lowerscontinuity between reference samples, it is not necessary to filter thereference samples. Therefore, when a selected interpolation filter setcorresponds to a sharp filter set, the processor 1610 may not filter thereference samples.

Alternatively, even when the selected interpolation filter setcorresponds to a smoothing filter, the processor 1610 may not filter thereference samples. Because the reference sample is smoothed according tothe interpolation filter set, it may not be necessary to previouslyfilter the reference sample according to the smoothing filter. Accordingto an embodiment, when a particular interpolation filter set is selectedamong a plurality of interpolation filter set candidates, it may be setnot to filter a reference sample.

According to an embodiment, the processor 1610 may determine a referencesample filtering flag indicating whether to filter a reference sample,according to an intra prediction mode of a current block. When the intraprediction mode of the current block is a planar mode, an intraprediction mode in an upper-left diagonal direction, an intra predictionmode in an upper-right diagonal direction, or an intra prediction modeof a lower-left diagonal direction, the processor 1610 may determine thereference sample filtering flag to indicate filtering of a referencesample. Also, when the intra prediction mode of the current block is anintra prediction mode corresponding to an intra prediction directionbetween 0 degree and 45 degrees, the processor 1610 may determine thereference sample filtering flag to indicate filtering of a referencesample. Also, when the intra prediction mode of the current block is anintra prediction mode corresponding to an intra prediction directionbetween −90 degrees and −135 degrees, the processor 1610 may determinethe reference sample filtering flag to indicate filtering of a referencesample. When the intra prediction mode of the current block is adifferent intra prediction mode other than the aforementioned intraprediction modes, the processor 1610 may determine the reference samplefiltering flag to indicate that a reference sample is not to befiltered.

Then, the processor 1610 may determine whether to filter the referencesample, according to the reference sample filtering flag. Also, theprocessor 1610 may determine the interpolation filter set, according tothe reference sample filtering flag.

As described above, a prediction value of the current sample may bedetermined based on a filtered reference sample or a not-filteredreference sample.

The processor 1610 determines the interpolation filter set to be used inprediction of the current block, based on at least one of the size ofthe current block and the intra prediction mode indicated by the intraprediction mode information.

According to an embodiment, the processor 1610 may obtain interpolationfilter set information indicating the interpolation filter set. Theinterpolation filter set information may be obtained for a picture unit,a slice unit, a slice segment unit, a tile unit, a CTU unit, or a CUunit. Interpolation filter set information for a luma block may also beapplied to a chroma block. Alternatively, interpolation filter setinformation for the chroma block may be obtained separately from theinterpolation filter set information for the luma block. Then, theprocessor 1610 may determine the interpolation filter set of the currentblock, based on the interpolation filter set information.

According to an embodiment, the processor 1610 may determine theinterpolation filter set, based on the reference sample filtering flag.When reference sample filtering is performed, the processor 1610 mayselect an interpolation filter set without a smoothing function. Incontrast, when the reference sample filtering is not performed, theprocessor 1610 may select an interpolation filter set with a smoothingfunction. As another example, when the intra prediction mode of thecurrent block corresponds to the upper-left diagonal direction, and thereference sample filtering is not performed, the processor 1610 mayselect the interpolation filter set with a smoothing function.

According to an embodiment, the processor 1610 may determine aninterpolation filter set, according to whether the size of the currentblock is greater than the preset block size. For example, when the sizeof the current block is smaller than the preset block size, theprocessor 1610 may use only one interpolation filter set. However, whenthe size of the current block is greater than the preset block size, theprocessor 1610 may determine an interpolation filter set of the currentblock from among a plurality of interpolation filter sets.

According to an embodiment, the processor 1610 may determine theinterpolation filter set, based on a remainder determined by dividing anindex value of the intra prediction mode of the current block by apreset integer. For example, when the preset integer is 2, the remainderof the index value of the intra prediction mode is determined to be 0or 1. Therefore, when the intra prediction mode is 34, the interpolationfilter set of the current block is determined as an interpolation filterset corresponding to the remainder that is 0. When the intra predictionmode is 35, the interpolation filter set of the current block isdetermined as an interpolation filter set corresponding to the remainderthat is 1.

According to an embodiment, when the size of the current block issmaller than the preset block size, the processor 1610 may determine theinterpolation filter set of the current block according to the intraprediction mode of the current block. When the current block is small,prediction results of adjacent intra prediction modes are similar, suchthat encoding of the interpolation filter set information is omitted bydetermining the interpolation filter set of the current block accordingto the intra prediction mode. Because the encoding of the interpolationfilter set information is omitted, coding efficiency may increase. Incontrast, when the size of the current block is greater than the presetblock size, the processor 1610 may determine the interpolation filterset of the current block, based on the interpolation filter setinformation.

According to an embodiment, the processor 1610 may select aninterpolation filter set that is most frequently used in the intraprediction mode of the current block, statistically.

According to an embodiment, the processor 1610 may apply a sameinterpolation filter set to a luma block and a chroma block. Incontrast, the processor 1610 may apply different interpolation filtersets to the luma block and the chroma block, respectively.

According to an embodiment, the processor 1610 may determine aninterpolation filter set to be used in prediction of a current samplefrom among a plurality of interpolation filter set candidates. Theplurality of interpolation filter set candidates may include at leastone of a sharp filter set and a smoothing filter set. The sharp filterset may decrease continuity between adjacent samples and may increase adifference between sample values of the adjacent samples. The smoothingfilter set may increase continuity between the adjacent samples and maydecrease the difference between the sample values of the adjacentsamples.

For example, the plurality of interpolation filter set candidates mayinclude two or more sharp filter sets. Alternatively, the plurality ofinterpolation filter set candidates may include two or more smoothingfilter sets. Alternatively, the plurality of interpolation filter setcandidates may include at least one sharp filter set and at least onesmoothing filter set.

Alternatively, the plurality of interpolation filter set candidates mayinclude a general interpolation filter without a smoothing function nora sharpening function. Accordingly, the plurality of interpolationfilter set candidates may include the general interpolation filter andat least one sharp filter set or the general interpolation filter and atleast one smoothing filter set.

According to an embodiment, the processor 1610 may determine two or moreinterpolation filter sets for prediction of the current block. Theprocessor 1610 may determine interpolation filter sets for respectivecurrent samples from among the two or more interpolation filter sets,according to distance between a reference sample of the current blockand the current sample. The processor 1610 may determine aninterpolation filter corresponding to a reference location in aninterpolation filter set corresponding to a current sample. Aninterpolation filter set with weak filtering strength may be applied toa current sample in a close range to the reference sample. In contrast,an interpolation filter set with strong filtering strength may beapplied to a current sample in a distant range from the referencesample.

In first embodiment, the processor 1610 may select 4 interpolationfilter sets so as to predict the current block. The first interpolationfilter set may be applied to a current sample directly neighboring thereference sample. The second interpolation filter set may be applied toa current sample distant from the reference sample by 1 pixel. The thirdinterpolation filter set may be applied to a current sample distant fromthe reference sample by 2 pixels to 3 pixels. The fourth interpolationfilter set may be applied to a current sample distant from the referencesample by at least 4 pixels.

In a second embodiment, the first interpolation filter set may beapplied to a current sample that directly neighbors the reference sampleand a current sample that is distant from the reference sample by 1pixel. The second interpolation filter set may be applied to a currentsample distant from the reference sample by 2 pixels to 3 pixels. Thethird interpolation filter set may be applied to a current sampledistant from the reference sample by 4 pixels to 7 pixels. The fourthinterpolation filter set may be applied to a current sample distant fromthe reference sample by at least 8 pixels.

According to an embodiment of the disclosure, the processor 1610 maydetermine, based on a size of a current block, a pixel distance betweena reference sample and a current sample to which an interpolation filterset is to be applied. For example, when the size of the current block is4×4, the processor 1610 may use 4 interpolation filter sets forprediction of the current block, according to the first embodiment.Alternatively, when the size of the current block is 8×8, the processor1610 may use 4 interpolation filter sets for prediction of the currentblock, according to the second embodiment.

The processor 1610 determines a reference location to which a currentsample of the current block refers, according to the intra predictionmode. Then, the processor 1610 determines, in an interpolation filterset, an interpolation filter that corresponds to the reference location.

The reference location is configured of an integer position and afraction position. The processor 1610 determines reference samples to beapplied to the interpolation filter according to the integer position.Then, the processor 1610 determines an interpolation filter in theinterpolation filter set, according to the fraction position.

The processor 1610 determines a prediction value of the current sample,according to the reference samples of the current block and theinterpolation filter. The processor 1610 may determine the predictionvalue of the current sample, according to a filter coefficient of theinterpolation filter which is determined according to the fractionposition and sample values of the reference samples determined based onthe integer position. The processor 1610 reconstructs the current block,based on the determined prediction value of the current sample.

FIG. 21 illustrates an embodiment of a method of filtering a referencesample neighboring a current block.

As described above, the processor 1610 may determine whether to filterreference samples. According to an embodiment, the processor 1610 maydetermine whether to filter the reference samples, according to a sizeof a current block and an interpolation filter set to be used inprediction of a current sample. When it is determined that the referencesamples are to be filtered, the reference samples are to be filtered ina manner below.

According to an embodiment, a smoothing filter may be used as areference sample filter. The number of taps of the smoothing filter mayvary in embodiments. The number of taps of the smoothing filter may be 3in FIG. 21 . Therefore, in order to filter a reference sample, thereference sample to be filtered, and two reference samples neighboringthe reference sample to be filtered are used.

For example, in order to filter a reference sample 2110 located above acurrent block 2100, reference samples 2110, 2112, and 2114 are used. Inorder to filter a reference sample 2120 located in the left of thecurrent block 2100, reference samples 2120, 2122, and 2124 are used. Inorder to filter a reference sample 2130 located in an upper-left vertexof the current block 2100, reference samples 2130, 2132, and 2134 areused.

According to an embodiment, filter coefficients of a smoothing filtermay be [¼, 2/4, ¼] in FIG. 21 . Therefore, a filtered sample value ofthe reference sample 2110 may correspond to a value obtained by adding avalue obtained by multiplying a sample value of the reference sample2110 by 2/4, a value obtained by multiplying a sample value of thereference sample 2112 by ¼, and a value obtained by multiplying a samplevalue of the reference sample 2114 by ¼. Equally, a filtered samplevalue of the reference sample 2120 may correspond to a value obtained byadding a value obtained by multiplying a sample value of the referencesample 2120 by 2/4, a value obtained by multiplying a sample value ofthe reference sample 2122 by ¼, and a value obtained by multiplying asample value of the reference sample 2124 by ¼. Also, a filtered samplevalue of the reference sample 2130 may correspond to a value obtained byadding a value obtained by multiplying a sample value of the referencesample 2130 by 2/4, a value obtained by multiplying a sample value ofthe reference sample 2132 by ¼, and a value obtained by multiplying asample value of the reference sample 2134 by ¼.

According to an embodiment, a reference sample 2140 and a referencesample 2150 which are located in the ends in the reference samples maynot be filtered.

According to the filtered reference samples, the prediction value of thecurrent block may be determined.

FIGS. 22 and 23 illustrate an embodiment of a method of determining aprediction value of a current block according to an interpolation filterwill now be described.

Referring to FIG. 22 , in order to determine a prediction value of acurrent sample 2210, a 4-tap interpolation filter is used. Therefore, aprediction value of the current sample 2210 is determined according to 4reference samples neighboring a reference location in an intraprediction direction from a location of the current sample 2210. Forexample, the reference location to which the current sample 2210 refersis between a reference sample 2222 and a reference sample 2224.Therefore, the prediction value of the current sample 2210 is determinedby applying an interpolation filter to the reference samples 2220, 2222,2224, and 2226. All samples of a current block 2200 are determined usinga same method applied to the current sample 2210.

Referring to FIG. 23 , a reference location 2230 that is located in anintra prediction direction from a location of a current sample isillustrated. An integer position of the reference location 2230corresponds to a location of a reference sample 2222. A fractionposition of the reference location 2230 corresponds to a differencebetween the reference location 2230 and the reference sample 2222.Referring to FIG. 23 , the fraction position of the reference location2230 is 7/16. Therefore, an interpolation filter that corresponds to thefraction position of 7/16 in an interpolation filter set is used toobtain the prediction value of the current sample 2210.

As described above, the interpolation filter set may be determined basedon vertical distances between the current sample 2210 and the referencesamples 2220, 2222, 2224, and 2226. Also, the interpolation filter setmay be determined according to a size and an intra prediction mode ofthe current block 2200.

According to an embodiment, the processor 1610 may determine whether tofilter the reference samples, according to an interpolation filter setto be used in prediction of a current sample. For example, a referencesample is filtered according to a smoothing filter. Therefore, due tofiltering of the reference samples according to the smoothing filter,continuity between the reference samples increases. Accordingly, in acase where the interpolation filter set includes a sharp filter thatlowers continuity between the reference samples, it is not necessary tofilter the reference samples. Therefore, when a selected interpolationfilter set corresponds to a sharp filter set, the processor 1610 may notfilter the reference samples.

Alternatively, even when the selected interpolation filter setcorresponds to a smoothing filter, the processor 1610 may not filter thereference samples. Because the reference sample is smoothed according tothe interpolation filter set, it may not be necessary to previouslyfilter the reference sample according to the smoothing filter. Accordingto an embodiment, when a particular interpolation filter set is selectedamong a plurality of interpolation filter set candidates, it may be setnot to filter a reference sample.

As described above, a prediction value of the current sample may bedetermined based on a filtered reference sample or a not-filteredreference sample.

The aforementioned technical characteristics of the processor 1610 maybe performed by the decoder 170 of FIG. 1B.

FIG. 24 illustrates a flowchart of a video decoding method includingadaptively selecting an interpolation filter for a current block, theinterpolation filter being used in intra prediction.

The video decoding method of FIG. 24 may further include determining,from adjacent samples of the current block, reference samples to be usedin intra prediction of the current block, according to the intraprediction mode of the current block. The video decoding method of FIG.24 may include determining whether to filter the reference samples.Also, the video decoding method of FIG. 24 may include filtering thereference samples, according to a reference sample interpolation filter.In operation 2410, a filtered reference sample may be used.

When a size of the current block is greater than a preset block size,the reference samples may be determined to be filtered. Alternatively,whether the reference samples are to be filtered may be determined,according to an interpolation filter set determined in operation 2420.In contrast, the interpolation filter set may be determined in operation2420, according to whether the reference samples are to be filtered.

In operation 2410, intra prediction mode information indicating an intraprediction mode of the current block is obtained from a bitstream.

In operation 2420, the interpolation filter set to be used in predictionof the current block is determined, based on at least one of the size ofthe current block and the intra prediction mode indicated by the intraprediction mode information.

According to an embodiment, interpolation filter set informationindicating an interpolation filter set may be obtained. Then, theinterpolation filter set may be determined based on the interpolationfilter set information.

According to an embodiment, the interpolation filter set is determinedfrom among a plurality of interpolation filter set candidates, accordingto whether the size of the current block is greater than a preset blocksize.

According to an embodiment, the interpolation filter set is determinedfrom among the plurality of interpolation filter set candidates, basedon a remainder determined by dividing an index value of the intraprediction mode of the current block by a preset integer.

According to an embodiment, two or more interpolation filter sets aredetermined. Then, from among the two or more interpolation filter sets,an interpolation filter set is determined for each of current samples,according to distance between a reference sample of the current blockand the current sample. In operation 2440, an interpolation filter thatcorresponds to a reference location is determined, in the determinedinterpolation filter set corresponding to the current sample.

In operation 2430, the reference location to which the current sample ofthe current block refers according to the intra prediction mode isdetermined.

In operation 2440, the interpolation filter that corresponds to thereference location is determined in the interpolation filter set.

In operation 2450, a prediction value of the current sample isdetermined, according to the reference samples of the current block andthe interpolation filter.

In operation 2460, the current block is reconstructed based on theprediction value of the current sample.

The technical characteristics implemented by the processor 1610 of FIG.16 may be implemented in the video decoding method of FIG. 24 .

FIG. 25 illustrates a flowchart of a video decoding method ofdetermining intra prediction direction candidates of a current block,based on a shape of the current block, and determining an intraprediction direction of the current block from among the intraprediction direction candidates.

In operation 2510, intra prediction mode information of the currentblock is obtained from a bitstream.

In operation 2520, based on the intra prediction mode information of thecurrent block, an intra prediction mode of the current block isdetermined.

In operation 2530, when the intra prediction mode of the current blockis an angular intra prediction mode, an intra prediction direction ofthe current block which corresponds to the intra prediction mode of thecurrent block is determined, based on a height and a width of thecurrent block.

In operation 2540, a prediction block of the current block is obtainedby intra predicting the current block according to the intra predictiondirection of the current block.

In operation 2550, the current block is reconstructed based on theprediction block.

In operation 2530, when the current block has a square shape where thewidth and the height are equal, a first intra prediction directioncandidate, which is indicated by the intra prediction mode, isdetermined to be the intra prediction direction of the current block,from among a plurality of first intra prediction direction candidatesset based on the square shape.

In operation 2530, when the current block has a non-square shape wherethe width and the height are not equal, a second intra predictiondirection candidate, which is indicated by the intra prediction mode, isdetermined to be the intra prediction direction of the current block,from among a plurality of second intra prediction direction candidatesset based on the non-square shape.

According to an embodiment, in operation 2530, when the current blockhas a non-square shape whose width is greater than its height, insteadof a preset number of intra prediction directions selected in alower-left direction from among the first intra prediction directioncandidates, intra prediction directions set in an upper-right directionother than intra prediction directions included in the first intraprediction direction candidates are included. Also, when the currentblock has a non-square shape whose height is greater than its width,instead of a preset number of intra prediction directions selected in anupper-right direction from among the first intra prediction directioncandidates, intra prediction directions set in a lower-left directionother than intra prediction directions included in the first intraprediction direction candidates are included.

According to an embodiment, in operation 2530, the intra predictiondirection included in the second intra prediction direction candidates,other than the intra prediction direction included in the first intraprediction direction candidates, may indicate a direction opposite to aparticular direction indicated by a substituted intra predictiondirection included in the first intra prediction direction candidates.

According to an embodiment, in operation 2530, when the current blockhas the non-square shape whose width is greater than its height, thesecond intra prediction direction candidates may further include anintra prediction direction indicating a direction close to a horizontaldirection, and when the current block has the non-square shape whoseheight is greater than its width, the second intra prediction directioncandidates may further include an intra prediction direction indicatinga direction close to a vertical direction, in addition to the firstintra prediction direction candidates.

According to an embodiment, in operation 2530, an intra predictiondirection look-up table according to ratios of the height and the widthof the current block may be obtained. When the intra predictiondirection look-up table according to the ratios of the height and thewidth of the current block does not exist, an intra prediction directionlook-up table corresponding to ratios of the height and the width with asmall difference from ratios of the height and the width of the currentblock. Then, the intra prediction direction may be determined based onthe obtained intra prediction direction look-up table.

According to an embodiment, in operation 2530, an MPM list may bedetermined by using a prediction mode of a left adjacent block of thecurrent block and a prediction mode of an upper adjacent block of thecurrent block, and the intra prediction mode of the current block may bedetermined according to the MPM list. When the current block has anon-square shape, priorities of MPMs included in the MPM list may bedetermined based on the height and the width of the current block.

The technical characteristics implemented by the processor 1610 of FIG.16 may be implemented in the video decoding method of FIG. 25 .

FIG. 26 illustrates a block diagram of a video encoding apparatus 2600that performs video encoding according to a block intra predictingmethod.

Referring to FIG. 26 , the video encoding apparatus 2600 according to anembodiment may include a processor 2610 and a memory 2620.

The processor 2610 according to an embodiment may generally control thevideo encoding apparatus 2600. The processor 2610 according to anembodiment may execute one or more programs stored in the memory 2620.

The memory 2620 according to an embodiment may store various data,program, or application for driving and controlling the video encodingapparatus 2600. The program stored in the memory 2620 may include one ormore instructions. The program (the one or more instructions) or theapplication stored in the memory 2620 may be executed by the processor2610.

Hereinafter, a video encoding method of determining an optimal intraprediction mode for a current block by adaptively selecting aninterpolation filter for a current block, the interpolation filter beingused in intra prediction will now be described.

The processor 2610 may determine an intra prediction mode of a currentblock, according to prediction accuracy of the current block. Predictionaccuracies of respective intra prediction modes may be determined in amanner below.

The processor 2610 may determine an interpolation filter set to be usedin prediction of the current block, based on at least one of a size andthe intra prediction mode of the current block. Then, the processor 2610may determine a reference location to which a current sample of thecurrent block refers, according to the intra prediction mode.

The processor 2610 may determine, in the interpolation filter set, aninterpolation filter corresponding to the reference location. Theprocessor 2610 may determine a prediction value of the current sample byinterpolating reference samples of the current block according to theinterpolation filter. Then, the processor 2610 may determine predictionaccuracy of the current block according to the intra prediction mode,based on the prediction value of the current sample.

The processor 2610 calculates prediction accuracies of the current blockwith respect to all intra prediction modes, thereby determining theoptimal intra prediction mode of the current block.

The processor 2610 may output a bitstream including intra predictionmode information indicating the intra prediction mode of the currentblock.

Hereinafter, a video encoding method of determining intra predictiondirection candidates of a current block, based on a shape of the currentblock, and determining an intra prediction direction of the currentblock will now be described.

The processor 2610 may determine, based on a width and a height of thecurrent block, the intra prediction direction candidates that may beapplied to the current block.

When the current block has a square shape where the width and the heightare equal, the processor 2610 may include a plurality of first intraprediction direction candidates set based on the square shape.

When the current block has a non-square shape where the width and theheight are not equal, the processor 2610 may include a plurality ofsecond intra prediction direction candidates including a plurality ofintra prediction directions set based on the non-square shape.

The processor 2610 may determine an intra prediction mode of the currentblock, based on prediction accuracies of prediction blocks according tothe intra prediction direction candidates.

The processor 2610 may output a bitstream including intra predictionmode information indicating the intra prediction mode of the currentblock.

Technical characteristics of video decoding described with reference tothe video decoding apparatus 1600 may be applied to the video encodingapparatus 2600. Functions of the processor 2610 may be performed by theencoder 110 of FIG. 1A.

FIG. 27 illustrates a flowchart of a video encoding method includingadaptively selecting an interpolation filter for a current block, theinterpolation filter being used in intra prediction.

In operation 2710, an intra prediction mode of a current block isdetermined according to prediction accuracy of the current block.

Operation 2710 includes operation 2712 to operation 2720. According tooperation 2712 to operation 2720, the prediction accuracy of the currentblock according to the intra prediction mode is determined.

The video encoding method may include, in operation 2712, determining aninterpolation filter set to be used in prediction of the current block,based on at least one of a size and an intra prediction mode of thecurrent block;

in operation 2714, determining a reference location to which the currentsample of the current block refers, according to the intra predictionmode;

in operation 2716, determining, in the interpolation filter set, aninterpolation filter that corresponds to the reference location; and

in operation 2718, determining a prediction value of a current sample byinterpolating reference samples of the current block according to theinterpolation filter.

In operation 2720, the prediction accuracy of the current blockaccording to the intra prediction mode is determined, based on theprediction value of the current sample.

In operation 2712 to operation 2720, prediction accuracies of thecurrent block are calculated with respect to all intra prediction modes,such that an optimal intra prediction mode of the current block isdetermined.

Then, in operation 2730, a bitstream including intra prediction modeinformation indicating the intra prediction mode of the current block isoutput.

The technical characteristics implemented by the processor 2610 of FIG.26 may be implemented in the video encoding method of FIG. 27 .

FIG. 28 illustrates a flowchart of a video encoding method ofdetermining intra prediction direction candidates of a current block,based on a shape of the current block, and determining an intraprediction direction of the current block from among the intraprediction direction candidates.

In operation 2810, intra prediction direction candidates that areapplicable to a current block are determined, based on a width and aheight of the current block.

In operation 2820, an intra prediction mode of the current block isdetermined, based on prediction accuracies of prediction blocksaccording to the intra prediction direction candidates.

In operation 2830, a bitstream including intra prediction modeinformation indicating the intra prediction mode of the current block isoutput.

In operation 2810, when the current block has a square shape where thewidth and the height are equal, a plurality of first intra predictiondirection candidates set based on the square shape are determined, and

when the current block has a non-square shape where the width and theheight are not equal, a plurality of second intra prediction directioncandidates including a plurality of intra prediction directions setbased on the non-square shape are determined.

The technical characteristics implemented by the processor 2610 of FIG.26 may be implemented in the video encoding method of FIG. 28 .

According to a video encoding scheme based on coding units having a treestructure described with reference to FIGS. 1A to 28 , image data in aspatial domain is encoded for each of the coding units having the treestructure, and according to a video decoding scheme based on the codingunits having the tree structure, decoding is performed on each oflargest coding units and the image data in the spatial domain isreconstructed, and thus a video such as a picture and a picture sequencemay be reconstructed. The reconstructed video may be reproduced by areproducing device, may be stored in a storage medium, or may betransmitted over a network.

Meanwhile, the embodiments of the disclosure may be implemented as acomputer-executable program, and may be implemented in a general-purposedigital computer that operates the program using a computer-readablerecording medium.

While optimal embodiments of the disclosure are described, it will beunderstood by one of ordinary skill in the art that various substitutes,modifications, and amendments may be made to the one or moreembodiments. That is, the substitutes, modifications, and amendments donot depart from the scope of the disclosure and are construed as beingincluded in the disclosure. Therefore, the embodiments should beconsidered in a descriptive sense only and not for purposes oflimitation.

The invention claimed is:
 1. A video decoding method comprising:obtaining, from a bitstream, intra prediction mode informationindicating an intra prediction mode of a current coding block includinga current transform block; determining a plurality of reference samplesfor intra prediction on the current transform block; when the intraprediction mode indicated by the intra prediction mode information isone of a planar mode and an intra prediction mode with a diagonalprediction direction, filtering the plurality of reference samples; whenthe plurality of reference samples are filtered, determining a firstvalue among a plurality of values including the first value and a secondvalue as interpolation filter information, wherein the first valueindicates a first interpolation filter set and the second valueindicates a second interpolation filter set; determining the firstinterpolation filter set, among a plurality of interpolation filter setsincluding the first interpolation filter set and the secondinterpolation filter set, based on the interpolation filter information;and obtaining prediction samples of the current transform block byperforming an interpolation on the filtered plurality of referencesamples using a plurality of first interpolation filter coefficients inthe first interpolation filter set, wherein: the plurality of firstinterpolation filter coefficients in the first interpolation filter setare different from a plurality of second interpolation filtercoefficients in the second interpolation filter set, and a differencebetween a maximum coefficient and a minimum coefficient among theplurality of first interpolation filter coefficients is greater than adifference between a maximum coefficient and a minimum coefficient amongthe plurality of second interpolation filter coefficients.
 2. A videodecoding apparatus comprising: a memory storing an instruction forperforming video decoding; and a processor configured to execute theinstruction, wherein the processor is further configured to, accordingto the instruction, obtain, from a bitstream, intra prediction modeinformation indicating an intra prediction mode of a current codingblock including a current transform block, determine a plurality ofreference samples for intra prediction on the current transform block,when the intra prediction mode indicated by the intra prediction modeinformation is one of a planar mode and an intra prediction mode with adiagonal prediction direction, filter the plurality of referencesamples; when the plurality of reference samples are filtered, determinea first value among a plurality of values including the first value anda second value as interpolation filter information, wherein the firstvalue indicates a first interpolation filter set and the second valueindicates a second interpolation filter set, determine the firstinterpolation filter set, among a plurality of interpolation filter setsincluding the first interpolation filter set and the secondinterpolation filter set, based on the interpolation filter information,and obtain prediction samples of the current transform block byperforming an interpolation on the filtered plurality of referencesamples using a plurality of first interpolation filter coefficients inthe first interpolation filter set, wherein: the plurality of firstinterpolation filter coefficients in the first interpolation filter setare different from a plurality of second interpolation filtercoefficients in the second interpolation filter set, and a differencebetween a maximum coefficient and a minimum coefficient among theplurality of first interpolation filter coefficients is greater than adifference between a maximum coefficient and a minimum coefficient amongthe plurality of second interpolation filter coefficients.
 3. A videoencoding method comprising: generating intra prediction mode informationindicating an intra prediction mode of a current coding block includinga current transform block; determining a plurality of reference samplesfor intra prediction on the current transform block; when the intraprediction mode indicated by the intra prediction mode information isone of a planar mode and an intra prediction mode with a diagonalprediction direction, filtering the plurality of reference samples; whenthe plurality of reference samples are filtered, determining a firstvalue among a plurality of values including the first value and a secondvalue as interpolation filter information, wherein the first valueindicates a first interpolation filter set and the second valueindicates a second interpolation filter set; determining the firstinterpolation filter set, among a plurality of interpolation filter setsincluding the first interpolation filter set and the secondinterpolation filter set, based on the interpolation filter information;and generating a bitstream comprising the intra prediction modeinformation by obtaining prediction samples of the current transformblock by performing an interpolation on the filtered plurality ofreference samples using a plurality of first interpolation filtercoefficients in the first interpolation filter set, wherein: theplurality of first interpolation filter coefficients in the firstinterpolation filter set are different from a plurality of secondinterpolation filter coefficients in the second interpolation filterset, and a difference between a maximum coefficient and a minimumcoefficient among the plurality of first interpolation filtercoefficients is greater than a difference between a maximum coefficientand a minimum coefficient among the plurality of second interpolationfilter coefficients.
 4. A non-transitory computer-readable medium forrecording a bitstream, the bitstream comprising: intra prediction modeinformation indicating an intra prediction mode of a current codingblock including a current transform block, wherein the intra predictionmode information is obtained by: generating the intra prediction modeinformation; determining a plurality of reference samples for intraprediction on the current transform block; when the intra predictionmode indicated by the intra prediction mode information is one of aplanar mode and an intra prediction mode with a diagonal predictiondirection, filtering the plurality of reference samples; when theplurality of reference samples are filtered, determining a first valueamong a plurality of values including the first value and a second valueas interpolation filter information, wherein the first value indicates afirst interpolation filter set and the second value indicates a secondinterpolation filter set; determining the first interpolation filterset, among a plurality of interpolation filter sets including the firstinterpolation filter set and the second interpolation filter set, basedon the interpolation filter information; and generating the bitstreamcomprising the intra prediction mode information by obtaining predictionsamples of the current transform block by performing an interpolation onthe filtered plurality of reference samples using a plurality of firstinterpolation filter coefficients in the first interpolation filter set,wherein: the plurality of first interpolation filter coefficients in thefirst interpolation filter set are different from a plurality of secondinterpolation filter coefficients in the second interpolation filterset, and a difference between a maximum coefficient and a minimumcoefficient among the plurality of first interpolation filtercoefficients is greater than a difference between a maximum coefficientand a minimum coefficient among the plurality of second interpolationfilter coefficients.